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Word Problem

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?

CAREY W. | Physics Student for Math and Science TutoringPhysics Student for Math and Science Tut...
5.0 5.0 (4 lesson ratings) (4)
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Since we know that she made over \$210, she was there for at least 7 hours.

Total:  \$410 Earned

Subtract:  \$210 For the first 7 hours

=  \$200 remaining

At \$20/hr for the remaining time..

\$200 / \$20/hr = 10 additional hours

Total Time:  7+ 10 hours = 17 hours

To put this into an equation, it we are looking for H hours, with a final rate "r"

H = 7 + 200/r
Tom D. | Very patient Math Expert who likes to teachVery patient Math Expert who likes to te...
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Hi Alyssa,

I can't see the equations, but I bet one of them looks something like this:

H = 7hr + (\$410-\$210)/(\$20/hr) = 17 Hours