Mrs. Zabel, the yearbook adviser, always likes to sell a large amount of yearbooks because after the initial set-up costs are paid, the printing is not too expensive.

If the yearbook staff sells 50 yearbooks, the cost per yearbook is $45. If they sell 125 yearbooks, the cost per yearbook is $37.50.

Assuming a linear equation fits the situation, find the price per yearbook if the staff sells 150 yearbooks.

Question

Mathematics

Henson

20 April, 06:37

Mrs. Zabel, the yearbook adviser, always likes to sell a large amount of yearbooks because after the initial set-up costs are paid, the printing is not too expensive.

If the yearbook staff sells 50 yearbooks, the cost per yearbook is $45. If they sell 125 yearbooks, the cost per yearbook is $37.50.

Assuming a linear equation fits the situation, find the price per yearbook if the staff sells 150 yearbooks.

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Answers (1)

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Maeve Lang · Answer 1

(50,45) (125,37.50)

slope (m) = (37.50 - 45) / (125 - 50) = - 7.5/75 = - 0.1

y = mx + b

slope (m) = - 0.1

(50,45) ... x = 50 and y = 45

now we sub and find b, the y int

45 = - 0.1 (50) + b

45 = - 5 + b

45 + 5 = b

50 = b

so ur equation is : y = - 0.1x + 50

so it the staff sells 150 yearbooks ...

y = - 0.1x + 50

y = - 0.1 (150) + 50

y = - 15 + 50

y = 35 < = = price per yearbook