Gina pumps 40 cubic inches of air per second into a balloon. The function below shows the total amount of air f (t) inside the balloon after t seconds. f (w) = 40t + 5 Which statement best describes the y-intercept of the graph of the function?

For this case, the first thing you should know is that the intersection with the y-axis occurs when the time equals zero.

Mathematically we have:

For t = 0:

f (0) = 40 (0) + 5

f (0) = 0 + 5

f (0) = 5

Answer:

The intersection with the y-axis represents the total amount of initial air before starting to pump air.

The initial air quantity is:

5 in ^ 3

The y-intercept of the graph of the function is the initial amount of air inside the balloon (5 cubic inches)