Part a: rhett made $250 washing cars with his mobile car wash company. he charges $70 per car and earned $50 in tips. write an equation to represent this situation. (4 points)
part b: scarlett made a profit of $250.00 with her mobile car wash company. she charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. write an equation to represent this situation. (4 points)
part c: explain how the equations from part a and part b differ. (2 points)

part a: $250 = $70x + $50

part b: $250 = $70x + $35

part c: rhett earned a total of $50 in tips. even though he charged less per car washes, he earned the same amount of money per car as scarlet had to pay $5 per car for cleaning supplies, whereas rhett didn't. scarlet made $35 in tips.

step-by-step explanation:

part a: rhett made $250 washing cars with his mobile car wash company. he charges $70 per car and earned $50 in tips. write an equation to represent this situation.

y = mx + b

m = the slope

b = the y intercept

y = total

made $250: y = $250

$70 per car:   $70x (x is the "per car" part)

$50 in tips: +$50 (y-intercept)

so, let's put that together.

$250 = $70x + $50

part b: scarlett made a profit of $250.00 with her mobile car wash company. she charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. write an equation to represent this situation

y = mx + b

m = the slope

b = the y intercept

y = total

made a profit of $250: y = $250

charged $75 per car wash = $75x but

$5 cleaning supplies per car wash would be subtracted from the 75, so it is:

$70x

$35 in tips: +$35 (y-intercept)

let's put that all together

$250 = $70x + $35

part c: explain how the equations from part a and part b differ.  

while they made the same amount of money in total, these 2 equations differ.

rhett earned a total of $50 in tips. even though he charged less per car washes, he earned the same amount of money per car as scarlet had to pay $5 per car for cleaning supplies, whereas rhett didn't. scarlet made $35 in tips.