Question

Jamie runs a math-tutoring program. For each student, she charges an enrollment fee of $63.00 plus $18.00 per hour of tutoring. If h representsthe number of hours a student participates in tutoring, which inequality symbolizes when a student's average cost per hour of tutoring is nomore than $22.207

Answer 1

$\begin{gathered} \text{The cost per hour function is:} \\ C(h)=63+18h \end{gathered}$$\begin{gathered} \text{The average cost per hour is:} \\ A\mathrm{}C(h)=\frac{63}{h}+18 \end{gathered}$

Hence, the inequality which symbolizes when a student's average cost of tutoring is no more than $22.207 is:

$\frac{63}{h}+18\leq22.207$