Question

The function f(x) = 2x + 26 represents the distance a flock of birds travels in in miles. The function g(x) = x − 1 represents the time the flock traveled in hours.

Solve f divided by g of 5, and interpret the answer.

Answer 1

The average speed of the flock of birds over 5 hours is 9 miles per hour, calculated by dividing the distance function f(x) by the time function g(x) at x equal to 5.

Step-by-step explanation:

The student asked to solve f divided by g of 5 for the given functions f(x) = 2x + 26 and g(x) = x − 1. This will give us the average speed of the flock of birds over the time interval when x equals 5.

First, we substitute x with 5 in both functions:

f(5) = 2(5) + 26 = 10 + 26 = 36 miles

g(5) = 5 − 1 = 4 hours

Next, we divide the outcome of function f by the outcome of function g:

\(\frac{f(5)}{g(5)} = \frac{36}{4} = 9 \) miles per hour

This result represents the average speed of the flock of birds over the time interval when x equals 5 hours.