Question

8 A truck driver left Cincinnati at 9AM and drove west at a constant speed. At 10:30AM, the truck was 75 miles from Cincinnati. Which function shows the truck's distance from Cincinnati as a function of minutes, m, driven?

Answer 1

The function that represents the truck's distance from Cincinnati as a function of minutes driven is d(m) = 75 + r(m - 90), where d(m) is the distance from Cincinnati in miles and r is the constant speed of the truck in miles per minute.

Step-by-step explanation:

The equation that represents the truck's distance from Cincinnati as a function of minutes driven is:

d(m) = 75 + r(m - 90)

where d(m) is the distance from Cincinnati in miles and r is the constant speed of the truck in miles per minute.

Since the truck was 75 miles from Cincinnati at 10:30AM, which is 90 minutes after 9AM, we can substitute these values into the equation:

d(90) = 75 + r(90 - 90)

d(90) = 75

This means that at 90 minutes after 9AM, the truck was 75 miles from Cincinnati.