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 3 1/2 hours of traveling. Enter your response in decimal form.(1 point)

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  3 1/2  hours of traveling. Enter your response in decimal form.(1 point)

GPT-4o mini · Answer

To find the distance left to get to Bloomsfield after traveling for 3.5 hours, we will substitute \( h = 3.5 \) into the function \( D(h) = 440 - 65h \).

\[ D(3.5) = 440 - 65 \times 3.5 \]

First, calculate \( 65 \times 3.5 \):

\[ 65 \times 3.5 = 227.5 \]

Now, substitute this value back into the distance function:

\[ D(3.5) = 440 - 227.5 \]

Now, perform the subtraction:

\[ D(3.5) = 440 - 227.5 = 212.5 \]

Thus, the distance left to get to Bloomsfield after 3.5 hours of traveling is 212.5 miles.