# MATH 110 Cuyamaca College Greenhouse Linear equations Math Homework

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account_balance_wallet \$10

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I need help to solve these problems i will uplod it by phot

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Your yard is a mess and you decide to hire a landscaper. The greenhouse charges a \$80 consultation fee plus \$14 per hour for the actual work.

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Borys_S
School: Carnegie Mellon University

18
The cost is the consultation fee plus cost for actual work.
a. The cost for the first company is 𝑪(𝒉) = 𝟖𝟎 + 𝟏𝟒𝒉.
b. The cost for the second company is 𝑪(𝒉) = 𝟑𝟎𝒉.
c. The system of linear equations is {𝐶 = 80 + 14ℎ.
𝐶 = 30ℎ
To solve it, substitute 𝐶 from the second equation into the first one: 30ℎ = 80 + 14ℎ,
which gives 16ℎ = 80, ℎ = 5 (ℎ𝑜𝑢𝑟𝑠). The corresponding 𝐶 is 30 ∙ ℎ = 30 ∙ 5 = 150 (\$).
The ordered pair is (ℎ, 𝐶 ) = (𝟓, 𝟏𝟓𝟎).
d. This solution tells us the number of hours (5) for wh ich the cost would be the same
(\$150) for both...

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Anonymous
Good stuff. Would use again.

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