Question

Steven earns extra money babysitting. he changes $33.00 for 4 hours and $49.50 for 6 hour.

enter an equation to represent the relationship. let x represent the number of hours Steven babysits and y represent the amount he changes.

the equation is y=

Answer 1

`y=8.25x`

Explanation:

let x represent the number of hours Steven babysits

and y represent the amount he changes

Steven earns extra money babysitting. he changes $33.00 for 4 hours

so, we get

`x_1=4,y_1=33`

$49.50 for 6 hour

so, we get

`x_2=6,y_2=49.50`

Firstly, we can find slope

`m=(y_2-y_1)/(x_2-x_1)`

now, we can plug values

`m=(49.50-33)/(6-4)`

`m=8.25`

now, we can use point slope form of line

`y-y_1=m(x-x_1)`

now, we can plug values

`y-33=8.25(x-4)`

now, we can solve for y

`y-33=8.25x-8.25* 4`

`y-33=8.25x-33`

we can add both sides by 33

`y-33+33=8.25x-33+33`

so, we get

`y=8.25x`