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sergejj [24]
3 years ago
11

An electrician earns 100 dollars for a project installing light fixtures. She must pay for the light fixtures herself and they c

ost 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).
Mathematics
1 answer:
katen-ka-za [31]3 years ago
6 0

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

Learn more:

You can learn more about profit in brainly.com/question/11145277

#LearnwithBrainly

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Step-by-step explanation:

Given 6^2 * cubed_root(6).

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[Multiply the terms, add the powers]

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7 0
3 years ago
Please hurry need done asap
Dmitriy789 [7]

Answer:

y=0.46591x+7.71591

Step-by-step explanation:

Labelled points are (21,\: 17.5)=(x_1,\:y_1) \: \&\:(43,\: 27.75)=(x_2,\:y_2)

Slope of line (m) =\frac{27.75-17.5}{43-21}  =\frac{10.25}{22} =\frac{41}{88}

Equation of line in point - slope form is given as:

y-y_1 = m(x-x_1)

\therefore y-17.5= \frac{41}{88} (x-21)

\therefore y= \frac{41}{88} x-\frac{861}{88}+17.5

\therefore y= \frac{41}{88} x+17.5-\frac{861}{88}

\therefore y= \frac{41}{88} x+\frac{1,540-861}{88}

\therefore y= \frac{41}{88} x+\frac{679}{88}

\therefore y=0.465909091x+7.71590909

\therefore y=0.46591x+7.71591

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