Ariel earns the same amount each week from tutoring. When she started this job, she had $100 in her savings account. The table shows Ariel's savings account balance for her first month of work.
let x represent the number of weeks Ariel has been working and let y represent Ariel's account balance. Which equation, expressed in Slope-Intercept Form, represents the amount of money in Ariel's bank account over time?
A. y=350x - 100
B. y=350x + 100
C. y=100x - 350
D. y= 100x + 350
Answers
Answer:
B
Step-by-step explanation:
The required line is y = 350x + 100 expressed in slope-Intercept form, which represents the amount of money in Ariel's bank account over time.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
Let x represent the number of weeks Ariel has been working and let y represent Ariel's account balance.
As per the given table, take two points (0, 100) and (4, 1500)
This means that the line passes through points (0, 100) and (4, 1500).
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = 0, y₁ = 100
x₂ = 4, y₂ = 1500
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 100 = (1500 - 100)/(4 -0 )[x -0]
⇒ y - 100 = (1400/ 4)x
⇒ y - 100 = 350x
⇒ y = 350x + 100
Hence, the required line is y = 350x + 100 expressed in slope-Intercept form, which represents the amount of money in Ariel's bank account over time.
Learn more about the Linear equations here:
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Related Questions
What is 133413.12cm in metres
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Answer:
1334.1312
Step-by-step explanation:
Answer:
1334.1312
Step-by-step explanation:
Sarah says that -6 multiplied by -3 is -18. Joseph says -6 multiplied by -3 is 18. Who is correct? Explain.
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Answer:
Joseph
Step-by-step explanation:
negative times a negative equals a positive.
A jar contains only pennies, nickels, dimes, and quarters. There are 19 pennies, 29 dimes, and 16 quarters. The rest of the coins are nickels. There are 88 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n?
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Answer:
24 nickles
Step-by-step explanation:
N= 88-(19+29+16)
N= 24
The variable q varies inversely as the cube of v. If k is the constant of variation, which equation represents this situation
a. qv^3=k
b. q^3v=k
c. q/v^3=k
d. q^3/v=k
Answers
Answer:
The answer is A.
Step-by-step explanation:
The equation represents this situation will be qv³ = k. Then the correct option is A.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The variable q varies inversely as the cube of v.
q ∝ 1/v³
q = k/v³
Where k is the constant of variation.
Then the equation represents this situation will be
q = k/v³
qv³ = k
Then the correct option is A.
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Please help fast thank you. The problem is in the picture.
Answers
Answer:
C
Step-by-step explanation:
LaShea would like to invest her $100 in birthday money. Which option will give her the most money at the end of the investment period?
1 year at 8 percent
1.5 years at 7 percent
2 years at 6.5 percent
3 years at 4 percent
Answers
Answer:
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Step-by-step explanation:
Answer:
3 years 4 percent
Step-by-step explanation:
A gardener planted flowers of different colors.
3/10 of the flowers are yellow.
3/4 of the remaining flowers are green.
The rest are purple.
The gardener planted 119 purple flowers, how many flowers did the gardener plant?
Answers
Answer:
The gardener planted 680 flowers
Step-by-step explanation:
The different colors of flowers planted by the gardener are;
The proportion of the flowers planted that are yellow = 3/10
The proportion of the remaining flowers planted that are green = 3/4
The color of the rest of the flower planted = Purple
The number of purple flowers planted = 119 purple flowers
Let the number of flowers the gardener planted = x
Therefore, the number of yellow flowers planted = 3/10 × x
The number of green flowers planted = 3/4 × (x - 3/10 × x) = 21/40×x
The number of the rest of the flower which are purple = x - (3/10 × x+ 21/40×x) = x - 33/40×x = 7/40×x
∴ The number of the purple flowers planted = 7/40×x = 119
x = 119 × 40/7 = 680
The number of flowers the gardener planted = x = 680 flowers
The gardener planted 680 flowers.
बाल कृष्ण माता यशोदा पर कौन सा दोष लगते हैं I सूरदास के पद
से?
Answers
Answer:
true
Step-by-step explanation:
Will give brainliest
Answers
Answer:
2x -2y
Step-by-step explanation:
May i get brainiest
plug in x and y
4(10)-2(10-3)
parentheses
40-2(7)
multiply
40-14
subtract
26 is your final answer
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please give brainliest :)
HELP PLZZZZZZZ THANK YOU
Answers
11*7 is 77
n=77/7
n=11
Answer:
Kristen would have 11 magazines
Step-by-step explanation:
You would divide 77 by 7 which gives you 11 so therefore:
n = 77 ÷ 7
n = 11
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Answers
Answer:
2+2=4
Step-by-step explanation:
You have to 2 circles and another 2 circles how many circles you got?
You got 4 circles in total.
Answer:
2+2 is not 22 its 4
Step-by-step explanation:
16. What is the median age of a class where 14 students are 14 years
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Answers
Answer:
22.5. the last two is 14 and 15 so you add the two remaining numbers and divide by 2
In a class 21 of students, 7 have a brother and 6 have a sister. There are 4 students who have a brother and a sister. What is the probability that a student who has a brother also has a sister?
Answers
Brother only is 7-x
Sister only is 6-x
Brother only + sister only + both + neither = 21
(7-x) + (6-x) + x + 4= 21
-4 - x = 21
x = 17
Per definition of conditional probability:
prob( brother | sister) = prob ( brother AND sister) / prob ( sister)
17/6 = 2 5/6
17/6 = 2 5/6 = 25%
Convert the equations (x+3)(x+1) and (x+2)^2-1 into standard form
Answers
the first one is x^2 + 4x + 3
the second one is x^2 + 4x + 3
Step-by-step explanation:
Use the given picture and find the value of x and y
Answers
Answer:
heres your answer maybe
Step-by-step explanation:
start with this in a explanation to find your answer.
(9y+17)+(10y)+(11y-1)=the value of Y
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Answer:
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Step-by-step explanation:
Honestly
If 2 pretzel makers can make 444 pretzels in 6 hours, how long does it take 5 pretzel makers to make 88 pretzels? Plz help me What is the answer to this equation?
Answers
Answer: Tt will take approximately 19.03 minutes.
Step-by-step explanation:
Formula required: [tex]\dfrac{M_1T_1}{W_1}=\dfrac{M_2T_2}{W_2}[/tex], where [tex]M_1[/tex] = number of men, [tex]T_1[/tex] = time taken,[tex]W_1[/tex] = work in situation 1, and [tex]M_2[/tex] = number of men, [tex]T_2[/tex] = time taken, [tex]W_2[/tex] = work in situation 2.
Given: If 2 pretzel makers can make 444 pretzels in 6 hours.
i.e. [tex]M_1=2,\ W_1=444, T_1=6\ hours[/tex]
To find : [tex]T_2[/tex] for [tex]M_25, W_2=88[/tex]
Substitute all value sin formula , we get
[tex]\dfrac{2\times6}{444}=\dfrac{5\times T_2}{88}\\\\\Rightarrow T_2=\dfrac{8\times88}{444\times5}=0.3171\ hour[/tex]
[tex]=0.3171\times 60= 19.026\text{ minutes}\ \ \ \ [\text{1 hour = 60minutes}][/tex]
hence, it will take approximately 19.03 minutes.
Give the person above me credit
The length of a rectangle is
four times its width. If the
area is 100 meters squared,
what is the length of the
rectangle?
Answers
Answer:
5 is the width 20 is the length
Step-by-step explanation:
5*4= 20 and 20*5=100
Let width = x
Let length = 4x
Area = 100m2
Next, we can write an equation using these variables and formula for area.
4x2 = 100
x2 = 25
x = -5 and x = 5
Since the dimensions cannot be negative, we accept the positive value:
x = 5
Next, we can substitute this value of x into the variables.
width = 5 m
length = 20 m
Finally, we can find the perimeter by plugging in these dimensions into the perimeter formula,
Perimeter = 2(5 m) + 2(20 m)
= 10 m + 40 m
= 50 m
25 POINTS Which table of values represents a quadratic function?
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A. Zero
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Answer:
It would be 6x - y = 3.
1. Write three different ratios that would form a proportion with the ratio of
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Answers
Answer:
5.7
Step-by-step explanation:
The three ratios that would form a proportion with the ratio of 5/3 are,
10/6, 15/9, and 20/12.
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Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
The three ratios that would form a proportion with the ratio of 5/3 are,
(5×2)/(3×2), (5×3)/(3×3) and (5×4)/(3×4).
10/6, 15/9, and 20/12.
learn more about proportion here :
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A rectangular section of wilderness will be set aside for a new wildlife refuge. It's dimensions are 5.2 × 105meters by 3.7 × 106meters. Find the area of the land in square meters.
Answers
Answer:
The area of the land in square meters is 1.924 x 10⁷ m²
Step-by-step explanation:
Given;
length of the wilderness, L = 3.7 × 10⁶ meters
width of the wilderness, W = 5.2 × 10⁵ meters
Area of the land in square meters is given by;
A = L x W
Where;
A is the area of the land
L is length of the land
W is width of the land
A = 5.2 × 10⁵ meters x 3.7 × 10⁶ meters
A = 5.2 × 10⁵ meters x 37 × 10⁵ meters
A = 192.4 × 10⁵ m²
A = 1.924 x 10⁷ m²
Therefore, the area of the land in square meters is 1.924 x 10⁷ m²
How many different solutions does (x+1)(x-1)(x+2)(x+1) have?
Answers
Answer:
Perhaps this will help. We have 11 identical candies, that we wish to distribute between 3 children C1. C2, and C3. (Possibly one or more of the children will get no candies.) For every solution of x1+x2+x3=11, we have a way of distributing the candies, x1 to C1, x2 to C2, and X3 to C3. conversely, every distribution of candies gives us a solution to x1+x2+x3=11.
Step-by-step explanation:
Can u please answer my recent question!!!!
eighth grade math!! please help asap!!
Answers
Answer:
I believe its 4
Step-by-step explanation:
If a function is y = x - 8 , then what is the value of the function when x is 10
Answers
Answer:
2
Step-by-step explanation:
Simplify
y = x - 8
Substitute
y = 10 - 8
10 - 8 = 2, so y = 2
What is the value of the expression (-2)^3 (3)^0 (4)^-2
Answers
Answer:
(-1)/2
Step-by-step explanation:
Simplify the following:
(-2)^3×3^0/4^2
4^2 = 16:
((-2)^3×3^0)/16
3^0 = 1:
(-2)^3/16
(-2)^3 = (-1)^3×2^3 = -2^3:
(-2^3)/16
2^3 = 2×2^2:
(-2×2^2)/16
2^2 = 4:
(-2×4)/16
2×4 = 8:
(-8)/16
The gcd of -8 and 16 is 8, so (-8)/16 = (8 (-1))/(8×2) = 8/8×(-1)/2 = (-1)/2:
Answer: (-1)/2
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Answer:
Step-by-step explanation:
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1039876,Estimate would be about 1040000
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Answer:
i think it is b
Step-by-step explanation: