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?

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

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