Question

Suppose that the relationship between price, P, and quantity, Q, is given by the equation Q=140−4P
.
Which of the following equations correctly represents solving Q=140−4P
for P?
answers:
P=140+Q
P=35-1/4Q
P=140-Q
P=140-4Q
P=35-4Q

Answer 1

To solve the equation \( Q = 140 - 4P \) for \( P \), we need to isolate \( P \) on one side of the equation. Here are the steps to do that:

1. Start with the equation:
\[
Q = 140 - 4P
\]

2. Rearranging gives:
\[
4P = 140 - Q
\]

3. Now divide both sides by 4:
\[
P = \frac{140 - Q}{4}
\]

4. This can be simplified to:
\[
P = 35 - \frac{1}{4}Q
\]

Thus, the correct representation of the equation solved for \( P \) is:
\[
P = 35 - \frac{1}{4}Q
\]

So the correct answer is:
**P = 35 - 1/4Q**.