Question

The minimum and maximum temperature for a day in Cupcake Town can be modeled by the equation below:

3|x − 8| + 15 = 18

What are the minimum and maximum temperatures for this day?

x = 1, x = 17

x = −7, x = 9

x = 7 x = 9

No solution

Answer 1

We can solve the inequality 3|x − 8| + 15 = 18 by dissecting the inequality into two:
3*(x-8) + 15 = 183x - 24 + 15 = 18 x = 9

-3*(x-8) + 15 = 18-3x + 24 + 15 = 18x = 7
answer hence is C.

Answer 2

we have

`3|x - 8| + 15 = 18`

Solve

`3|x - 8| + 15 = 18`

Subtract
`15` both sides

`3|x - 8| + 15-15 = 18-15`

`3|x - 8|= 3`

Divide by
`3` both sides

`|x - 8|= 1`

`(x - 8)=(+/-) 1`

First case

`(x1 - 8)= 1`

`x1=1+8=9`

Second case

`(x2 - 8)= -1`

`x2=-1+8=7`

therefore

the answer is the option

x = 7 x = 9