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.
Remaining Attempts : 3

Answer 1

To find the distance left to get to Bloomsfield after 312 hours of traveling using the function \( D(h) = 440 - 65h \), we need to substitute \( h = 312 \) into the function.

Let's calculate:

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

Now, calculate \( 65 \times 312 \):

\[ 65 \times 312 = 20280 \]

Now substitute this value back into the function:

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

Calculating this gives:

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

This result indicates that after 312 hours of traveling, you are actually 19840 miles past Bloomsfield. Since the question asks for the distance left to travel to get to Bloomsfield, you would have already passed it.

Therefore, the remaining distance to Bloomsfield is:

\[ \text{Distance left} = -D(312) = 19840 \text{ miles} \]

Thus, the distance you have left to travel is:

19840 miles.