Question

On a trip, the total distance (in miles) you travel in x hours is represented by the piecewise function d of x. How far do you travel in 4 hours?

a) 220 miles
b) 300 miles
c) 240 miles
d) 275 miles

Answer 1

The distance traveled in 4 hours can be found using the piecewise function d(x) and the given ranges for x. In this case, the distance traveled in 4 hours would be 180 miles.

Step-by-step explanation:

To find the distance traveled in 4 hours, we need to use the piecewise function d(x) that represents the total distance in x hours. Let's assume the function is defined as follows:

d(x) = 100x for 0 <= x < 2

d(x) = 180 for 2 <= x < 4

To find the distance traveled in 4 hours, we need to find which part of the function applies. Since x = 4 is in the range 2 <= x < 4, we use the second part of the function: d(x) = 180. Therefore, you would travel 180 miles in 4 hours.