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 = 7x ( 410 + 210)/20

B) H=7-(410+210)/20

C) H=7-(410-210)/20

D)H=7+(410-210)/20

Answer 1

h = 7 + (410-210)/20

Answer 2

She made $210 for the 1st 7 hours and 20 dollars for each additional hours, so, if h represents the number of additional hours beyond 7 hours she tutors, we have,
$$
410=210 + 20h\\
h=\cfrac{410-210}{20}\\
$$
So the total number of hours would be 7 + h.