Answer: P(-7.38,-12.85)
Steps:
Draw the directed line in a chart, including points A and B.
Look for the x coordinate of P:
the distance |B-A| along the x coord is |0-(-16)|=16
we are looking for a proportion of 7/13 of that:
the x coord of P is 16*7/13 to the right of -16, or -16+8.62= -7.38
Look for y coordinate of P:
the distance |B-A| along the y coord is |-17-(-8)|=9
we are looking for a proportion of 7/13 of that:
the y coord of P is 9*7/13 down from -8, or -8-4.85= -12.85
so the point P is P(-7.38,12.85)
The answer is ...
R = 5
8(5) = 40
80 - 9.38 = 70.62
41.54(.07) = 2.91
41.54 + 2.91 = 44.45
66(.07) = 4.62
66 + 4.62 = 70.62
With an $80 gift card, Stephanie can buy a sundress as long as the ticketed price is less than or equal to $66.00.
