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

Answer:

$y=8.25x$

Step-by-step 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

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{49.50-33}{6-4}$

$m=8.25$

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

$y-33=8.25x-8.25\times 4$

$y-33=8.25x-33$

we can add both sides by 33

$y-33+33=8.25x-33+33$

so, we get

$y=8.25x$