Absolute value cannot be less than 0. No solution
Solution:
Given that,
A new toy hits the local store
Sales (in tens) increase a steady rate for several months, then decrease at about the same rate
This can be modeled by the function:
[tex]S(m) = -0.625 |m - 8| + 5[/tex]
In what month(s) were 25 toys sold?
Therefore,
S = 25
Substitute S = 25 in above function
[tex]25 = -0.625 | m - 8| + 5\\\\25 - 5 = -0.625 | m - 8|\\\\20 = -0.625 | m - 8|\\\\| m - 8| = -32[/tex]
[tex]\mathrm{Absolute\:value\:cannot\:be\:less\:than\:0}[/tex]
Thus no solution occurs
Answer:
4 and 12
Step-by-step explanation:
Use 2.5 because the sales are in tens so the 25 is divided by 10
2.5 = -0.625|x-8|+5
-2.5/-0.625=|x-8|
4=|x-8|
+-4=x-8
x=4, 12
