Answer:
Option A.
Step-by-step explanation:
It is given that, sales (in hundreds) for several months can be modeled by the function:
[tex]S(m)=-0.625|m-8|+5[/tex]
We need to find the month in which 400 toys were sold.
Substitute S(m)=4 in the given function.
[tex]4=-0.625|m-8|+5[/tex]
[tex]4-5=-0.625|m-8|[/tex]
[tex]-1=-0.625|m-8|[/tex]
[tex]\dfrac{-1}{-0.625}=|m-8|[/tex]
[tex]1.6=|m-8|[/tex]
Now,
[tex]\pm 1.6=m-8[/tex]
[tex]1.6=m-8[/tex] or [tex]-1.6=m-8[/tex]
[tex]1.6+8=m[/tex] or [tex]-1.6+8=m[/tex]
[tex]9.6=m[/tex] or [tex]6.4=m[/tex]
Approx the value to the next whole number.
[tex]m\approx 10[/tex] or [tex]m\approx 7[/tex]
It means, 400 toys were sold on 7th and 10th month.
Therefore, the correct option is A.
