Question

The minimum and Maximum temperature for a day in cupcake town can be modeled by the equation below:3 |x-8| + 15= 18What are the minimum and Maximum temperatures for this day?A. x=1, x=17 B. x=-7 , x=9 C. x=7 x=9 D. No solution

Answer 1

C. x=7, x=9

Step-by-step explanation:

The equation representing the minimum and maximum temperature is:

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

We solve for x:

Subtract 15 from both sides:

`\begin{gathered} 3|x-8|+15-15=18-15 \\ 3|x-8|=3 \end{gathered}`

Divide both sides by 3:

`\begin{gathered} (3|x-8|)/(3)=(3)/(3) \\ |x-8|=1 \end{gathered}`

Solving the absolute sign gives:

`\begin{gathered} x-8=1\text{ or }x-8=-1 \\ x=8+1\text{ or }x=8-1 \\ x=9\text{ or }x=7 \end{gathered}`

The minimum and maximum temperatures for this day are 7 and 9 respectively.