Question

Ryan is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission for every computer sale he makes. The equation P, equals, 17, point, 5, 0, x, plus, 65P=17.50x+65 represents Ryan's total pay on a day on which he sells xx computers. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?
Answer
Attempt 1 out of 2

The yy-intercept of the function is
which represents

Answer 1

To find the y-intercept of the equation \( P = 17.50x + 65 \), we need to determine the value of \( P \) when \( x = 0 \).

Substituting \( x = 0 \) into the equation:

\[
P = 17.50(0) + 65
\]
\[
P = 0 + 65
\]
\[
P = 65
\]

Thus, the y-intercept of the equation is 65.

**Interpretation in the context of the problem:**

The y-intercept of 65 represents Ryan's base pay for a day when he does not sell any computers (i.e., when \( x = 0 \)). This means that even if Ryan sells no computers, he will still earn $65 for the day.