Question

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation. Then use the equation you wrote and fill out the table.

Answer 1

the slope-intercept should be in this form

`y=mx+b`

where m should be the value that changes with time and b the fixed charges

`y=1.5x+4`

replace in the equation like this

`\begin{gathered} \text{when x=2} \\ y=1.5\cdot(2)+4 \\ y=3+4 \\ y=7 \end{gathered}`

`\begin{gathered} \text{when x=}4 \\ y=1.5\cdot(4)+4 \\ y=6+4 \\ y=10 \end{gathered}`

`\begin{gathered} \text{when x=}6 \\ y=1.5\cdot(6)+4 \\ y=9+4 \\ y=13 \end{gathered}`

`\begin{gathered} \text{when x=}8 \\ y=1.5\cdot(8)+4 \\ y=12+4 \\ y=16 \end{gathered}`

replace values in the table