Ask a New Question
Menu

Solve D(h) = 440 - 65h

h - 3 1/2

1 answer

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: \[ D(3.5) = 212.5 \]