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Answer:
First, we must calculate the slope
m=Y2-Y1/X2-X1
= 9 - (-6) / 12 - (-8)
= 15/20
= 3/4
Therefore, the equation with the slope of 3/4 is Y=3/4x
Let x represent the number of caps
cost per cap = $6
cost for x caps = 6x
shipping charge = $25
overall budget = $1000
We can set up the following inequality:
Because the total amount cannot exceed 1000, we have
25 + 6x ≤ 1000
6x ≤ 975
x ≤ 162.5
rounding,
x ≤ 163
This means she can purchase a maximum of 163 caps.
