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.

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

Step-by-step explanation:

The standard equation of line in intercept form is given by  :-

, where m is the slope of the line and c is the y-intercept.

Given : Sara 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 :-

By comparing it to the equation (i), we have

c=30 and m=10

i.e. The y-intercept is 30.

Also, y-intercept of any function shows the starting value of the function when x=0.

Thus, This is the cost of registration ( starting fee).

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