Question

Julie is a math tutor in the academic center. She charges $210 for the first 7 hours of tutoring and $20 for each additional hour of tutoring. If she earned $410 tutoring 1 student, how many total hours did she spent tutoring the student?

Which of these equations represents this problem?
A.
h = 7 × 410 + 210

20
B.
h = 7 − 410 + 210

20
C.
h = 7 − 410 − 210

20
D.
h = 7 + 410 − 210

20

Answer 1

Let h = total number of hours of tutoring.

The correct equation is:

210 + 20(h - 7) = 410

Now we solve it.

210 + 20h - 140 = 410

20h + 70 = 410

20h = 340

h = 17

The total number of hours of tutoring is 17 hours.