Answer:
C. x=7, x=9
Explanation:
The equation representing the minimum and maximum temperature is:
[tex]3|x-8|+15=18[/tex]We solve for x:
Subtract 15 from both sides:
[tex]\begin{gathered} 3|x-8|+15-15=18-15 \\ 3|x-8|=3 \end{gathered}[/tex]Divide both sides by 3:
[tex]\begin{gathered} \frac{3|x-8|}{3}=\frac{3}{3} \\ |x-8|=1 \end{gathered}[/tex]Solving the absolute sign gives:
[tex]\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}[/tex]The minimum and maximum temperatures for this day are 7 and 9 respectively.
