The distance away from the city of Bloomsfield is a function of time. The function D(h)=440−65h

Question

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 312
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 Bloomsfield after 312 hours of traveling, we can substitute \( h = 312 \) into the function \( D(h) = 440 - 65h \):

\[ D(312) = 440 - 65 \times 312 \]

Calculating \( 65 \times 312 \):

\[ 65 \times 312 = 20280 \]

Now substitute this back into the function:

\[ D(312) = 440 - 20280 \]

Calculating \( 440 - 20280 \):

\[ D(312) = 440 - 20280 = -19840 \]

The negative result means that the distance you've traveled exceeds the distance from Bloomsfield, indicating that you are 19840 miles past Bloomsfield.

Thus, the distance left to travel to reach Bloomsfield after 312 hours is approximately:

\[ \text{Distance left} = -19840 \text{ miles} \]

When expressing this in decimal form, the numerical response would simply be:

\[ -19840.00 \]

So, the final answer is \(-19840\) miles.