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?

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

GPT-4o mini · Answer

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.