Question

Mr. Sullivan has 24 basketballs in his garage. The number of basketballs, denoted as 'b,' increases at a rate of 37% per year, as a function of time 't.' Can you determine the number of basketballs he will have after a specific period of time 't'?

Answer 1

To determine the number of basketballs Mr. Sullivan will have after a specific period of time 't', we can use the formula b(t) = b * (1 + r)^t, where b is the initial number of basketballs, r is the rate of increase, and t is the number of years.

Step-by-step explanation:

To determine the number of basketballs Mr. Sullivan will have after a specific period of time t, we can use the formula:

b(t) = b * (1 + r)^t

Where b is the initial number of basketballs, r is the rate of increase as a decimal (37% would be 0.37), and t is the number of years.

In this case, b = 24, r = 0.37, and t is the specific period of time.

Let's say t = 5 years. Plugging the values into the formula:

b(5) = 24 * (1 + 0.37)^5

Simplifying the equation gives:

b(5) = 24 * (1.37)^5

Calculating this gives an approximate value of:

b(5) ≈ 73.096