Question

The distance away from the city of Bloomsfield is a function of time. The function D(h)=440−65hrepresents 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 traveling for 3.5 hours, you can substitute \( h = 3.5 \) into the function \( D(h) = 440 - 65h \).

Let's calculate:

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

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

\[ 65 \times 3.5 = 227.5 \]

Now substitute that back into the equation:

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

Now perform the subtraction:

\[ D(3.5) = 212.5 \]

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