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Bond [772]
3 years ago
11

Rae earns $60 for playing music on Saturday nights at the local coffee house. She makes an average of $5.25 in tips per hour. Wr

ite the function of Rae's earnings, and solve for how much she would make after 4 hours.
Mathematics
2 answers:
Anestetic [448]3 years ago
8 0

Answer:  The function of Rae's earnings : f(x)=60+5.25x

She would make $81 after 4 hours.

Step-by-step explanation:

Let x be the number of hours Rae works.

Given : Rae earns $60 for playing music on Saturday nights at the local coffee house. She makes an average of $5.25 in tips per hour.

Then , the function of Rae's earnings will be :_

f(x)=60+5.25x

Now, for x = 4 hours , we get

f(4)=60+5.25(4)=81

Hence, she would make $81 after 4 hours.

SVETLANKA909090 [29]3 years ago
7 0
F(x) = 5.25x + 60

after 4 hrs..
f(4) = 5.25(4) + 60
f(4) = 21 + 60
f(4) = 81.......Rae would make $81 after 4 hrs
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Answer:

○ 3

○ y + ½ = 3(x - 2)

○ Multiply both sides of the equation by 3. The Standard Form of the equation is 12x - 2y = 24.

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Step-by-step explanation:

Find the <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

-y₁ + y₂\-x₁ + x₂ = m → (-1, 1) and (-2, -2)

\frac{2 + 1}{2 - 1} = 3

__________________________________________________________

According to the Point-Slope Formula, <em>y - y₁ = m(x - x₁)</em>, all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting this coordinate into the formula with their CORRECT SIGNS:

(2, -½) → y + ½ = 3(x - 2)

__________________________________________________________

We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it:

-3[4x - ⅔y = 8] → -12x + 2y = -24

** They should have multiplied by -3 instead of 3 because that negative is hooked up to everything in the fraction, but since the exercise gave you 12x - 2y = 24, go with 12x - 2y = 24.

__________________________________________________________

If you would take a look at this graph real closely, you will see that this graph intersects the y-axis and x-axis at ENDPOINTS, so to find the x-intercept, you simply plug in <em>zero</em> for <em>y</em>: 5x = 15, and you will know right away that <em>x</em><em> </em>is set to equal 3, which is what you see in the graph, (3, 0). Now, to find the y-intercept, you simply plug in <em>zero</em><em> </em>for <em>x</em>: -3y = 15, and you will know right away that <em>y</em><em> </em>is set to equal -5, which is what you see on the graph as well, (0, -5). With that being said, you have your answer.

__________________________________________________________

y - 3 = ½(x - 1)

y - 3 = ½x - ½

+ 3 + 3

_____________

y = ½x + 2½

* 2½ = 5⁄2

I am joyous to assist you anytime.

4 0
2 years ago
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