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.

Answer 1

To find the distance left to get to Bloomsfield after 3 1/2 hours of traveling, we need to substitute \( h = 3.5 \) into the function \( D(h) = 440 - 65h \).

Let's calculate:

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

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

\[ 65 \times 3.5 = 227.5 \]

Now, substitute this value back into the equation:

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

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