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allsm [11]
2 years ago
8

Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amount

s of
time that she worked.

Mathematics
1 answer:
Nikolay [14]2 years ago
4 0

Constant rates are used to illustrate linear functions.

  • The average rate of change is $9.0 per hour
  • The function that models the table is: \mathbf{f(x) = 9x }
  • The amount earned in 7.5 hours is $67.5

<u>(a) The average rate of change</u>

This is calculated using:

\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}

So, we have:

\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}

\mathbf{Rate = \frac{9}{1.0}}

\mathbf{Rate = 9.0}

Hence, the average rate of change is $9.0 per hour

<u>(b) A function that models the table of values</u>

Let x represent hours, and y represent the earnings.

So, we have:

\mathbf{y =m (x - x_1) + y_1}

Where:

m =Rate = 9.0

So, we have:

\mathbf{y = 9(x - 2.5) + 22.5}

Expand

\mathbf{y = 9x - 22.5 + 22.5}

\mathbf{y = 9x }

Represent as a function

\mathbf{f(x) = 9x }

Hence, the function that models the table is: \mathbf{f(x) = 9x }

<u>(c) Amount earned for 7.5 hours</u>

This means that x = 7.5

So, we have:

\mathbf{f(7.5) = 9 \times 7.5 }

\mathbf{f(7.5) = 67.5}

Hence, the amount earned in 7.5 hours is $67.5

Read more about constant rates at:

brainly.com/question/23184115

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5 0
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a country's population in 1992 was 169 million in 1999 it was 174 million estimate the population in 2010 using the exponential
ahrayia [7]
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7 0
3 years ago
-5.73q = 97.41 q= please help me???
jek_recluse [69]

First Divide both sides by -5.73

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7 0
3 years ago
My question got deleted so I'll post these into two separate
Agata [3.3K]

Answer:

see below

Step-by-step explanation:

1 million

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8 0
3 years ago
Please, can someone help?
LekaFEV [45]
The area of that figure is 2453.25 square feet

First, you would need to find the area of the rectangle

(L)(W)
(70)(30)
2100

Then since it is only a semi circle, the formula is pi*r^2/2

You find the area of a full circle first

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706.5

Then you divide that by 2 since it’s only half a circle

706.5/2 = 353.25

Finally you add that by the area of the rectangle

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3 0
3 years ago
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