Question

The number of hits on a website doubles every month. About 10,600 people visited the website during May. The expression 10,600 · 2t models the number of visitors after t months. Evaluate the expression for t = 0 and t = −2. Describe what each value of the expression represents in the situation.

A. 10,600; 2650; About 10,600 people visited the website in March. About 2,650 people visited the website in May.
B. 10,600; 2650; About 10,600 people visited the website in May. About 2,650 people visited the website in March.

Answer 1

The correct option is;

B. 10,600; 2,650; About 10,600 people visited the website in May. About 2,650 people visited the website in March

Explanation:

The given parameters are;

The number of people that visit the website every month = 2 × The number of people that visited the website the previous month

The number of people that visit the website during May ≈ 10,600

The number of visitors of the website are given by the expression 10,600 ×
`2^t`

For t = 0, we have;

The number of visitors of the website = 10,600 × 2⁰ = 10,600

For t = -2, we have;

The number of visitors of the website = 10,600 × 2⁻² = 2,650

Therefore, the website had about 10,650 visitors in May and about 2,650 visitors in 2 months earlier in March.