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

Answer 1

Simplify 18−15 = 3

Answer 2

you first want to get the absolute value by itself
So you subtract 15 on both sides
\[3\left|x-8\right|=3\]
Then you divide by 3 on both sides
\[\left|x-8\right|=1\]

Answer 3

Once again
\[x-8=-1\quad \quad \mathrm{or}\quad \:\quad \:x-8=1\]

Answer 4

x-8=1

Answer 5

For the left equation, also add 8 on both sides
\[x−8=-1\]

Which give you
\[x=7\]

Answer 6

For the equation on the right you also add 8 on both sides
\[x−8=1\]
which you get
\[x=9\]

Answer 7

I got the same thing

Answer 8

Those are your answers! max would be 9 and min would be 7