Question
D (h) 440-65h
Find the distance you have left after traveling 3 1/2 hours
Find the distance you have left after traveling 3 1/2 hours
Answers
GPT-4o mini
To find the distance left after traveling for \( 3 \frac{1}{2} \) hours using the function \( D(h) = 440 - 65h \), we first convert \( 3 \frac{1}{2} \) hours into an improper fraction or a decimal for easier calculation. \( 3 \frac{1}{2} \) hours is equal to \( 3.5 \) hours.
Now, we can substitute \( h \) with \( 3.5 \) in the equation:
\[
D(3.5) = 440 - 65(3.5)
\]
Calculating \( 65 \times 3.5 \):
\[
65 \times 3.5 = 227.5
\]
Now substituting this back into the equation:
\[
D(3.5) = 440 - 227.5
\]
Now, doing the subtraction:
\[
D(3.5) = 212.5
\]
Thus, the distance left after traveling \( 3 \frac{1}{2} \) hours is \( 212.5 \) miles.
Now, we can substitute \( h \) with \( 3.5 \) in the equation:
\[
D(3.5) = 440 - 65(3.5)
\]
Calculating \( 65 \times 3.5 \):
\[
65 \times 3.5 = 227.5
\]
Now substituting this back into the equation:
\[
D(3.5) = 440 - 227.5
\]
Now, doing the subtraction:
\[
D(3.5) = 212.5
\]
Thus, the distance left after traveling \( 3 \frac{1}{2} \) hours is \( 212.5 \) miles.