Question

Given that f(n) = 28n defines a function that determines the driving distance on the road (in miles) that corresponds with the map distance (in inches), answer the following.

Use function notation to represent the driving distance on the road that corresponds with a distance of 6.7 inches on the map.

Answer 1

The driving distance on the road that corresponds with a distance of 6.7 inches on the map is 187.6 miles.

Step-by-step explanation:

To find the driving distance on the road that corresponds to a distance of 6.7 inches on the map, we can use the function f(n) = 28n. In this case, n represents the map distance in inches and f(n) represents the driving distance on the road in miles. Therefore, to find the driving distance for a map distance of 6.7 inches, we substitute n = 6.7 into the function.

f(6.7) = 28(6.7) = 187.6 miles

To find the driving distance that corresponds with a distance of 6.7 inches on the map using the function f(n) = 28n, we need to substitute n with 6.7 inches in the function: f(6.7) = 28 * 6.7

Now, we perform the multiplication: f(6.7) = 28 * 6.7 = 187.6 Therefore, the driving distance on the road that corresponds with a distance of 6.7 inches on the map is 187.6 miles. We write this using function notation as f(6.7) = 187.6