Question

A runner can increase the distance, in miles, she runs according to the function r(x)=3(1.05)x, where x represents the number of runs taken. Approximately how far can she run after 6 runs? Round to the nearest whole number, if necessary. Multiple choice question. cross out A) 2 miles cross out B) 3 miles cross out C) 4 miles cross out D) 5 miles

Answer 1

By substituting x with 6 in the function r(x) = 3(1.05)^x, we find that the runner can run approximately 4 miles after 6 runs. Therefore correct option is C

Step-by-step explanation:

The function r(x) = 3(1.05)x represents the distance, in miles, a runner can run after x runs. To find out approximately how far the runner can run after 6 runs, we substitute x with 6 into the function:

r(6) = 3(1.05)6

Calculating the value, we get:

r(6) ≈ 3(1.41885)

r(6) ≈ 4.25655 miles

Rounding to the nearest whole number, the runner can run approximately 4 miles after 6 runs.