The distance away from the city of Bloomsfield is a function of time. The function D(h)=440−65h

Question

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)
The distance that you have left to travel is
miles.

Answer 1

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

Calculating:

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

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

\[ 65 \times 3.5 = 227.5 \]

Now substitute this value into the distance function:

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

Thus, the distance left to travel to Bloomsfield after 3.5 hours is:

\[ \boxed{212.5} \text{ miles.} \]