Question

An electrician earns 100 dollars for a project installing light fixtures. She must pay for the light fixtures herself and they cost 2 dollars and 50 cents each at the hardware store. Create an equation to represent her profit from the project. Let x represent the number of light fixtures and y represent her total profit (the amount of money she has left over after paying for the light fixtures).

Answer 1

y = 100 - 2.5 x is the equation that represents her total profit from

the project

Step-by-step explanation:

The given is:

1. An electrician earns 100 dollars for a project installing light fixtures

2. She must pay for the light fixtures herself and they cost 2 dollars

    and 50 cents each

3. x represent the number of light fixtures and y represent her

   total profit

Her profit is the amount of money she has left over after paying for

the light fixtures

∵ The cost of each light fixtures is 2 dollars and 50 cents

- Let us change the cents to dollar

∵ $1 = 100 cents

∴ 50 cents = $\frac{50}{100}=0.5$ dollar

∴ 2 dollars and 50 cents = $2.5

∵ Her profit = The money she earns - The money she pays

∴ The cost of each light fixtures = $2.5

∵ She installs x light fixtures

∴ She pays 2.5 x dollar

∵ She earns $ 100 for installing x light fixtures

∵ Her profit is $y

∴ y = 100 - 2.5 x

y = 100 - 2.5 x is the equation that represents her total profit from

the project

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