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 3.5 hours of traveling, we can substitute \( h = 3.5 \) into the function \( D(h) = 440 - 65h \).

Let's calculate it step by step:

1. Substitute \( h = 3.5 \) into the function:
\[
D(3.5) = 440 - 65 \cdot 3.5
\]

2. Calculate \( 65 \cdot 3.5 \):
\[
65 \cdot 3.5 = 227.5
\]

3. Now substitute this value back into the equation:
\[
D(3.5) = 440 - 227.5
\]

4. Perform the subtraction:
\[
D(3.5) = 212.5
\]

Thus, the distance left to get to Bloomsfield after 3.5 hours of traveling is \( \boxed{212.5} \) miles.