Question

A piano teacher charges $15 per hour plus a one-time fee of $7 for a music book. The cost of the lessons, y, are summarized in the followingtable, where a represents the number of hours.

Answer 1

Given the linear equation.

`y=15x+7`

To find the corresponding values of y with given values of x, we will substitute the value of x in the equation and solve for y

`\begin{gathered} For\text{ x=4} \\ y=15x+7 \\ y=15(4)+7 \\ y=60+7=67 \end{gathered}`
`\begin{gathered} For\text{ x}\rightarrow5 \\ y=15x+7 \\ y=15(5)+7 \\ y=75+7 \\ y=82 \end{gathered}`

Hence, the two numbers missing in the table are 67 and 82