Question

Solve D(h) = 440 - 65h

h - 3 1/2

Answer 1

To solve the equation \( D(h) = 440 - 65h \) given \( h - 3 \frac{1}{2} \), let's clarify and solve this step-by-step.

1. First, we recognize that \( 3 \frac{1}{2} \) can be written as a decimal or improper fraction:
\[
3 \frac{1}{2} = 3.5 = \frac{7}{2}
\]

2. It looks like you want to solve \( D(h) = 440 - 65h \) at \( h = 3.5 \). Therefore, we substitute \( h = 3.5 \) into the equation:
\[
D(3.5) = 440 - 65(3.5)
\]

3. Now calculate \( 65 \times 3.5 \):
\[
65 \times 3.5 = 227.5
\]

4. Substitute this back into the \( D(h) \) equation:
\[
D(3.5) = 440 - 227.5
\]

5. Now perform the subtraction:
\[
440 - 227.5 = 212.5
\]

Therefore, the solution is:
\[
D(3.5) = 212.5
\]