Question

sophia works at a toy store and earns a fixed salary of $200 per week. in addition to her salary, she earns a commission of $5 for every toy she sells. if $x$ represents the number of toys she sells in a week and $y$ represents her gross pay for the week, which of the following represents the linear function that describes sophias earnings? $y = 200+5x$ $y = 200x + 5$ $y = 5+200x$ $y = 5x+200$

Explanation:

Step1: Identify fixed - salary and commission

Fixed salary is $200, commission per toy is $5.

Step2: Form linear - function formula

The general form of a linear function is $y = mx + b$, where $m$ is the slope (commission per toy) and $b$ is the y - intercept (fixed salary). Here, $m = 5$ and $b = 200$, so the function is $y=5x + 200$.

Answer:

$y = 5x+200$