Question

Jessica is selling books the summer to earn money for college. She earns a commission on each sale but has to pay for her own expenses.

After a month of driving from neighborhood to neighborhood and walking door-to-door, she figures out that her weekly earnings are approximately a linear function of the number of doors she knocks on.

She writes the equation of the function like this: E(x)=7x-25, where x is the number of doors she knocks on during the week and E(x) is her earnings for the week in dollars.

Which of the following are reasonable interpretations of the y-intercept of the Jessica’s function?

Check all that apply

A. She can earn $7 per week even if she does not knock on any doors.

B. Her expenses are $25 per week.

C. If she does not knock on any doors at all during the week, she will lose $25.

D. She will lose $7 per week if she does not knock on any doors.

Answer 1

A is false, because if she does not knock on any doors, she will lose 25 dollars.

B is true, because the -25 part of the equation represents her expenses for the week.

C is true, because if she does not knock on any doors, she will lose 25 dollars.

D is false, because she will lose 25 dollars each week is she does not knock on any doors.

The answer is B and C.

I hope this helps. :)