# MATH 110 Cuyamaca College Greenhouse Linear equations Math Homework

*label*Mathematics

*timer*Asked: Mar 28th, 2019

*account_balance_wallet*$10

### Question Description

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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## Tutor Answer

The solutions are ready. Please read them and feel free to ask for any explanations.docx and pdf file are identical

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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