First we need to identify which one is our independent variable (x) and which is our dependent variable (y).
The independent variable is the number of t-shirts. So x will correspond to the number of t-shirts sold.
The domain is the possible values for x, so here, since the coach has 4 t-shirts for sale, the possible values for x are 0, 1, 2, 3, and 4:
[tex]d\colon\left\lbrace 0,1,2,3,4\right\rbrace [/tex]
The dependent variable is the raised money, because it dependes in the number of t-shirts sold.
Since he already has $50, if he sells 1 more at $12, he will have
50+12=62
If he sells 2 more:
50+2(12)=50+24=74
If he sells 3 more:
50+3(12)=50+36=86
If he sells all of the 4:
50+4(12)=50+48=98
The range is the possible values for y.
So, the possible values for the dependent variable y according to the number of T-shorts sold is:
[tex]r\colon\left\lbrace 50,62,74,86,98\right\rbrace [/tex]
Answer: A.
