Naming, Evaluating, & Interpreting Functions Practice

Question

Complete this assessment to review what you’ve learned. It will not count toward your grade.
5 of 55 of 5 Items

Question
The distance away from the city of Bloomsfield is a function of time. The function D(h)=440−65h
represents the distance in miles away from Bloomsfield as you travel toward the city, based on the number of hours, h , you have traveled. Find the distance left to get to Bloomsfield after 312
hours of traveling. Enter your response in decimal form.(1 point)
The distance that you have left to travel is
miles.
Remaining Attempts : 3

Answer 1

To find the distance left to get to Bloomsfield after 3.12 hours of traveling, you can substitute \( h = 3.12 \) into the function \( D(h) = 440 - 65h \).

1. Substitute \( h \) into the function: \[ D(3.12) = 440 - 65 \times 3.12 \]

2. Calculate \( 65 \times 3.12 \): \[ 65 \times 3.12 = 202.8 \]

3. Now substitute this value back into the equation: \[ D(3.12) = 440 - 202.8 \]

4. Perform the calculation: \[ D(3.12) = 237.2 \]

Therefore, the distance left to get to Bloomsfield after 3.12 hours of traveling is 237.2 miles.