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dimaraw [331]
2 years ago
7

Nathaniel purchases a one year membership pass to an art museum as a member he receives a discounted entrance fee the total cost

for the year f(x) after c visits to the art museum is shown on the graph below

Mathematics
2 answers:
shutvik [7]2 years ago
4 0

make me brainliest please

Arturiano [62]2 years ago
3 0
For this case, we must find the equation of the line.
 The generic equation of the line is:
 y-yo = m (x-xo)

 The slope of the line is:
 m =  \frac{y2-y1}{x2-x1}
 Substituting values we have:
 m = \frac{15-12}{2-0}
 Rewriting:
 m = \frac{3}{2}
 m = 1.5
 We now choose an ordered pair:
 (xo, yo) = (0, 12)
 Substituting values we have:
 y-12 = 1.5 (x-0)
 Rewriting the equation:
 y= 1.5x+12
 For 20 visits, we evaluate the equation when x = 20.
 We have then:
 y= 1.5(20)+12
 y= 30+12
 y= 42
 Answer:
 
The discounted entrance fee is 1.5$. The total cost is 42$ after 20 visits
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