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.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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

Substituting \( h = 3.5 \) into the function:

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

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

\[ 65 \times 3.5 = 227.5 \]

Now, substitute this value back into the distance function:

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

\[ D(3.5) = 212.5 \]

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