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 = 17.50x + 65 represents ryans total pay on a day on which he sells x computers. what is the y - intercept of the equation and what is its interpretation in the context of the problem? the y - intercept of the function is 925 which represents. the commission ryan makes for each computer sale the number of computers ryan sold in a day the commission ryan makes for each computer sale the total pay ryan makes each day the base pay ryan makes regardless of computer sales

Explanation:

Step1: Recall linear function form

A linear function is in the form \( y = mx + b \), where \( m \) is the slope (rate of change) and \( b \) is the y - intercept (initial value when \( x = 0 \)).

Step2: Analyze the given problem

In the context of Ryan's pay, \( x \) is the number of computers sold, and \( y \) is the total pay. The equation for his pay is \( y=17.50x + 65\) (wait, there seems to be a typo in the original problem's equation display, but the y - intercept is the constant term). The base pay is the amount he makes even when he sells 0 computers (\( x = 0 \)). So when \( x = 0 \), \( y=b\) (the y - intercept). The option "the base pay Ryan makes regardless of computer sales" matches this interpretation because the base pay is the amount he gets even if he sells no computers (when \( x = 0 \)), which is the y - intercept. The other options: "the commission for each computer sale" would be the slope (rate per computer), "the number of computers sold in a day" is \( x \), "the total pay each day" is \( y \), and "the commission for each computer sale" is the slope. So the y - intercept represents the base pay regardless of sales.

Answer:

the base pay Ryan makes regardless of computer sales