Question

Create an expression to represent the following

(picture is included below)

Answer 1

7) x + 0.09x, where x is the price of the car

8) x + 0.05x where x is the price of clothing

9) It will take michael about 9.14 minutes to eat 32 cookies.

Explanation:

7) 9% of x is the same as 0.09x, so you can write this:

x + 0.09x, where x is the price of the car

8) same thing for this one

x + 0.05x where x is the price of clothing

9) michael can eat cookies at a rate of 21 cookies per 6 minutes, or
`(21)/(6)`

Because he will be eating them at the same pace, you can write an equation and solve for the variable:

`(21)/(6)` =
`(32)/(y)`

cross multiply the proportion:

21 × y = 32 × 6

solve:

21y = 192

y ≈ 9.14

It will take michael about 9.14 minutes to eat 32 cookies.

This works because they both simplify to 3.5 cookies per minute

`(21)/(6)` = 3.5

`(32)/(9.14)` = 3.5