Question

The table below show the amount of water that is in a bathtub that is being filled

(1,12) (2,17) (3, 22) (4,27).

Which of the following function could model the amount of gallon of water, f(x) that the bathtub will contain after x minute of being filled?

1. f(x)=5x+12

2.f(x)=7x+5

3.f(x)=5x+7

4.f(x)=12x+5

Answer 1

I would say f(x)=5x+7 because the y-values are going up by 5 each time, so to find the y-intercept you need to subtract 5 from 12 and you get 7. The third answer is the only one that has 7 as a y-intercept.

Explanation: