Question

question 4 (1 point)
(05.07 lc)
sara wanted to gather data about the cost of local gyms in her area. she plotted the data and determined that the average gym costs consist of a one-time registration fee and a monthly fee modeled by the equation $y = 10x + 30$.
identify and interpret the y-intercept in this model.
a the y-intercept is 30. this is the cost of registration.
b the y-intercept is 30. this is the cost per month.
c the y-intercept is 10. this is the cost of registration.
d the y-intercept is 10. this is the cost per month.

question 5 (1 point)
(05.07 lc)

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form of a linear equation is $y = mx + b$, where $b$ is the y-intercept.

Step2: Match to given equation

For $y = 10x + 30$, $b = 30$, so the y-intercept is 30.

Step3: Interpret the y-intercept

When $x=0$ (0 months), $y=30$. This is the one-time fee, which is the registration cost.

Answer:

a. The y-intercept is 30. This is the cost of registration.