Question

Franklin's faucet was leaking, so he put a bucket underneath to catch the water. After a while, Franklin started keeping track of how much water was in the bucket. His data is in the table below.

Answer 1

Assuming this is the same problem I answered,

1. Is the relationship linear or nonlinear?
A: The answer is linear since because the number of hours shown increased by 1, the number of quarts increased by 1.5

2. Write the equation for the relationship
A: (x marks the number of hours while y marks the quarts)
m = y2 – y1 / x2 – x1 = 6.5 – 5 / 3 – 2 = 1.5
y – y1 = m(x – x1)
y – 5 = 1.5(x – 2)
y – 5 = 1.5x – 3
y = 1. 5 + 2

3. Using the equation from num. 2, we substitute x = 14.
y = 1.5(14)+2
y = 21+2
y = 23 quarts