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lawyer [7]
3 years ago
6

Write an algebraic expression To Represent the Pay in dollars For Working "x" hours at a rate of eight dollars and seventy-Five

Cent per hour
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0

Answer:

y=8.75x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In this problem we have a proportional variation

Let

y ----> the pay in dollars

x ----> the number of hours worked

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin.

The slope or constant of proportionality in this problem is equal to

k=\$8.75\ per\ hour

substitute

The algebraic expression is equal to

y=8.75x

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A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the function C(x) = 180 + 8x. The
alexdok [17]

Answer:

The correct answer would be, No of bracelets the company must sell to break even would be 15

Step-by-step explanation:

Revenue is given by the function as:

R(x) = 20x

and Cost is given by the function as:

C(x) = 180 + 8x

Let the function P(x) represent the profit earned.

We know that Profit is equal to Revenue - Cost

i-e  

Profit = Revenue - Cost

So,

P(x) = R(x) - C(x)

Now substituting the Revenue and cost values in the above equation.

P(x) = 20x - (180 + 8x)

P(x) = 20x -180 -8x

P(x) = 20x - 8x -180

P(x) = 12x - 180

Now if we want to find out the break even point, we would consider profit as Zero, 0. So substituting 0 in the above equation for Profit, we will get:

0 = 12x - 180

12x = 180

x = 180/12

x = 15

So the break even point will be 15 bracelets.

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3 years ago
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Step-by-step explanation:

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3 years ago
For the data shown in the stem-and-leaf plot, what is the effect on the mean and median of adding the value 10 to the data set?
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Picture attached for question<br>​
Tema [17]
<h3><u>Explanation</u></h3>
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{a}^{ \frac{m}{n} }  =  \sqrt[n]{ {a}^{m} }

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9 \sqrt[4]{ {t}^{3} }  \times 7 \sqrt[3]{ {t}^{2} }  \\ 9( {t}^{ \frac{3}{4} } ) \times 7( {t}^{ \frac{2}{3} } )

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