Question

A cleaning service offers a monthly rate of $35 plus $15 per hour they are at your home. Which algebraic expression represents the total cost for x number of hours they clean your home each month?

Answer 1

if x is the number of hours they clean your home each month

and their rate is $15 an hour

then how much are they charging total

Answer 2

50x

Answer 3

no ignore the $35 for now

Answer 4

35 + 15x

Answer 5

that's the starting cost (which is added later), but we're just focusing on 15 and x right now

Answer 6

good

Answer 7

so if x = 0, then 35+15x would be 35 (ie no matter what, you're paying $35)

if x = 1, then 35+15x is 50 (basically you add on 15 to 35)

etc etc

Answer 8

so its 35 + 15x

Answer 9

yes

Answer 10

If the cleaning service rounds up to the next hour, then:\[35+\text{Ceiling}[15x] \]