Question
Naming, Evaluating, & Interpreting Functions Practice
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
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
Answers
GPT-4o mini
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**.
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**.