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

Answer 1

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

Let's calculate it step by step:

1. Substitute \( h = 312 \) into the function: \[ D(312) = 440 - 65 \times 312 \]

2. Calculate \( 65 \times 312 \): \[ 65 \times 312 = 20280 \]

3. Now, substitute this value back into the equation: \[ D(312) = 440 - 20280 \]

4. Perform the subtraction: \[ D(312) = 440 - 20280 = -19840 \]

The calculated distance of \(-19840\) indicates that after 312 hours of traveling, you would have passed Bloomsfield by 19840 miles, as the negative value implies that you're well beyond the city.

Therefore, the distance left to get to Bloomsfield is:

\[ \text{Distance left to travel} = -19840 \text{ miles (indicating you have passed the city).} \]