Question

Keisha is a language arts and civics tutor. She offers tutoring sessions that are hours long. The equation 20h+25 represents her charge in dollars for a Language arts session that is h hours long. For civics, she charges the same one-time fee but a different hourly rate. She charges $124 for a 3-hour civics tutoring session. Write an equation in slope-intercept form that represents the total charge, , of a civics tutoring session that is h hours long, and find the reasonable range of that equation.

Answer 1

y = 33h + 25

Explanation:

Given that :

Equation for the amount charged for language art session :

20h + 25 ;

Slope intercept equation :

mx + c

c = intercept, m = hourly charge

Here, the one time fee = 25

For civics:

One time fee is the same;

Hence, c = 25

Amount charged for a 3 hours civic tutoring session = $124

y = mh + c

h = number of hours ; c = $25

Amount charged per hour (m) :

$(124 - 25)/ 3

= $99 /3

= $33

m = 33

Hence,

Total charge y ;

y = 33h + 25