Question

. Mr. Sheng is using a faucet attachment to fill the fish tank in his blology classroom. The graph below shows the amount of water in the

tank during the first several minutes since he turned on the faucet. What is the slope of a line joining the points on the graph? If your
answer is not an integer, express it as a decimal.

Answer 1

8

Explanation:

Slope = (change in y) / (change in x) = (y₂-y₁)/(x₂-x₁)

We have two points on the graph, (2, 16) and (6, 48)

Let's say (2, 16) = (x₁, y₁) ( there's no reason why (6, 48) can't be (x₁, y₁), but one of them has to be it) and (6, 48) = (x₂, y₂). Our slope is then

(y₂-y₁)/(x₂-x₁) = (48-16) / (6-2) = 32 / 4 = 8