Question

At 1 p.m., the number of cars in a parking lot is 78. Given the formula found in the first part of the question, An=78⋅1.09n, estimate the number of cars in the parking lot at 6 p.m. (Round your answer to the nearest whole number if necessary.)

Answer 1

At 6 p.m., the number of cars in a parking lot is 120

Explanation:

At 1 p.m., the number of cars in a parking lot is 78.

Given,

`A_n=78\cdot 1.09^n`

Note that

`A_0=78\cdot 1.09^0=78\cdot 1=78`

So, 1 p.m. goes for n = 0, then

6 p.m. goes for n = 5

Thus,

`A_5=78\cdot 1.09^5\approx 120`