At time x=​0, water begins to drip steadily out of a water tank. After 3 hours ​, there are 6.8 gallons of water in the tank. After 9 ​hours, 4.4 gallons remain. Write a linear function rule that models the number of gallons of water y left in the tank for any number of hours x. The linear function rule is y = ___

Answer:

[tex]y=-0.4x+8[/tex]

Step-by-step explanation:

Let the Linear Function to represent the drip of water out of the water tank be:

[tex]y=mx+c[/tex]

Where [tex]x[/tex] is the time

[tex]y[/tex] is the number of gallons at that time

[tex]m[/tex] is the rate at which water drips

[tex]c[/tex] is the initial number of gallons of water in the tank

Putting the given values in the above equation:

[tex]6.8 = m\times 3+c ..... (1)[/tex]

[tex]4.4 =m\times 9+c..... (2)[/tex]

Subtracting (1) from (2):

[tex]6m=-2.4\\\Rightarrow m =-0.4[/tex]

Putting in equation (1):

[tex]6.8=-0.4\times 3+c\\\Rightarrow c = 8[/tex]

Therefore, the linear function equation to represent in the situation is:

[tex]y=-0.4x+8[/tex]

a stereo system cost 275 is on sale for 15% off .The sales person receives a 2% commission. How much of a commission do they receive?

Plzzz help!!!!
Due tonight

The graph shows the relationship between the weight of silver and the total cost. Which of the following is​ true? A.
The graph shows a proportional relationship.
B.
The point​ (2,34) means that 34 pounds of silver cost​ $2.00 per pound.
C.
The point​ (1,17) shows the constant of proportionality.
D.
The point​ (0,0) means that 0 pounds of silver cost​ $0.00.
E.
The point​ (4,68) means that​ $4.00 is the cost for 68 pounds of silver. (Total class

PLZZ ANSWER FAST
Triangles G H K and X Y Z are shown. The length of side H K is 21 centimeters. The length of side Y Z is 26 centimeters. Sides GH and XY are congruent. Sides G K and X Z are congruent.
Given GK = XZ and GH = XY, which statement must be true?

m∠G > m∠X
m∠G < m∠X
HG = XZ
HK = YZ

Thereisalinewhoseslopeis0andwhose y -intercept is –6 . What isitsequationin slope -intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

Leah is riding home from a friends house. After 5 minutes she is 4 miles from home. After 15 minutes she is 2 miles from home. Which equation models his distance, X if he is initially 5 miles from home? A) Y=5X-5 B) Y=11/7X-27/7 C) Y=0.2X+5 D) Y=-0.2X+5

Bob drives 252 miles to the mountains. He gets there in 3.5 hours. Assuming he is traveling at a constant rate, about how many miles does he go in one hour?

i need help with this question​

I’ll give brainiest if it’s correct

I don’t know how to do this

The question is in the image below!

Question 4 of 5 Haley conducted a study which found that a cup of coffee contains 150 milligrams of caffeine. The amount of caffeine in the body each hour after consumption of one cup is 9% less than the previous hour. Which of the following statements best describes what will happen to the amount of caffeine in the body in the hours after consumption? A . As the number of hours after consumption approaches infinity, the amount of caffeine in the body approaches negative infinity. B . As the number of hours after consumption approaches infinity, the amount of caffeine in the body approaches infinity. C. As the number of hours after consumption approaches infinity, the amount of caffeine in the body approaches 0. D. As the number of hours after consumption approaches infinity, the amount of caffeine in the body remains constant.

helpppppp ! look at the picture below

Please answer! Thank you so much! You will be rewarded in points :)

The line has a slope of 7/10 and y- intercept of 3/1. Find the equation of the line.

PLEASE HELP I'VE BEEN TRYING TO FIGURE THIS OUT FOREVER Select the correct answer What is the slope of the line that goes through the points (1. 5) and (4.17 OA OB. - oc OD 2​

Help help help plz plz hi hi

A bakery sold a total of 200 cupcakes in a day, and 94 of them were chocolate flavored. What percentage of cupcakes sold that day were chocolate flavored?

write 3a+b-2=b in standard form​

∆ABC transforms to produce ∆A'B'C'. Which transformation did NOT take place? A. rotation 180° counterclockwise about the origin B. reection across the origin C. rotation 180° clockwise about the origin D. reection across the line y = -x

Are AABC and ADEF similar??

PLEASE HELP ME WITH THIS I NEED SERIOUS HELP

If you place a 34 foot ladder against the top of a 30 foot building, how many feet will the bottom of the ladder be from the bottom of the building?

giving brainliest to the best answer , good luck !!

find the product if (x-3)^2

x^2 + 6x + 9
x^2 - 9
x^2 - 6x + 9
x^2 + 9

Please help with this picture above

please help I will give brainiest​

A tree casts a shadow 10 feet long. This person standing next to the tree casts a shadow 2.5 feet long. The triangle shown for the tree and its shadow
is proportional to the triangle shown for the person and their shadow. If this person is 5 feet tall, how tall is the tree?

A ladder is leaned against a building the bottom of the ladder is 13 feet from the building the top of the ladder is 19 feet above the ground what is the slope of the ladder

A computer game involves creating words of five or more letters. At the beginning of each game, the computer assigns a points value of 1, 2, 3 or 4 to each letter of the alphabet, at random.
In the game that I am currently playing I have so far scored 14 points for EARTH, 12 points for CHART and 11 points for TRACE.
How many points would TEACHER score in this game? SHOW YOUR WORK

On a recent shopping trip, you see a sale advertising 5 pairs of socks and 2 pairs of shoes for $100. Write an equation using x to represent the cost of socks and y to represent the cost of shoes.
Group of answer choices hurrrrrrry asp

A. 20x + 50y = 100

B. 5x + 2y = 100

C. 50x + 20y = 100

D. 2x + 5y = 100