Given that the function S = 700 + 0.08c models the relation between weekly salary S and the sales c.
a)
We have to find the weekly salary when the sales are $0. Put c = 0 in the equation:
[tex]\begin{gathered} S=700+0.08(0) \\ =700 \end{gathered}[/tex]
Thus, the answer is $700.
b)
We have to find the weekly salary when the sales are $18530. Put c = 18530 in the equation:
[tex]\begin{gathered} S=700+0.08(18530) \\ =700+1482.4 \\ =2182.4 \end{gathered}[/tex]
Thus, the answer is $2182.4.
c)
The equation S = 700 + 0.08c means the y-intercept is 700 and the slope is 0.08. This means salary increases 0.08 for every $1 sale and when the sale is $0, the salary is $700.
Thus, the first option is correct.
d)
The third graph satisfies the function. Thus, the third graph is correct.
