Question

The distance away from the city of Bloomfield is a function of time. The function D(h)=440−65h represents the distance in miles away from Bloomfield 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 Bloomfield after traveling for 3 1/2 hours, we can substitute \( h = 3.5 \) into the function \( D(h) = 440 - 65h \).

Calculating \( D(3.5) \):

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

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

\[ 65 \times 3.5 = 227.5 \]

Now subtract this from 440:

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

Therefore, the distance left to travel to Bloomfield after 3 1/2 hours is:

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