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4 years ago

Please help with this problem picture will be posted A.S.A.P.

Mathematics

1 answer:

balu736 [363]4 years ago

7 0

I would say B but I can't see the question very well.

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

Nikolay [14]

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

(a) The average rate of change

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

(b) A function that models the table of values

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: $\mathbf{f(x) = 9x }$

(c) Amount earned for 7.5 hours

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

4 0

2 years ago

The distance y (in miles) that a truck travels on x gallons of gasoline is represented by the equation y = 18x.

Lapatulllka [165]

Answer:

Not A Question

Step-by-step explanation:

6 0

3 years ago

How to graph y=log3(x+3) and what is its Asymptote, Domain, and Range

Anastaziya [24]

Answer:

9 ans the ragen to all of them

Step-by-step explanation:

3 0

4 years ago

The English alphabet has 20 letters more than one fourth the number of letters in the Greek alphabet. The English alphabet has 2

Black_prince [1.1K]

1/4G+20=26
G=24
I cannot really explain this because it is hard to put into words, but it is correct.

7 0

3 years ago

The blueprint (a scale drawing used by architects and others) for Zahra’s new office measures `4` cm long and `2` cm wide. The s

Dimas [21]

Using scale concepts, it is found that the length of her office is of 10 ft, while the width is of 5 ft.

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The scale of 6 cm to 15 ft means that each 6 cm in the drawing represent 15 ft in actual dimensions.
From this, a rule of three is applied to find the dimensions.

First, we find the actual length:

6 cm - 15 ft

4 cm - x ft

$6x = 60$

$x = \frac{60}{6}$

$x = 10$

The actual length is of 10 ft.

Then, we find the actual width:

6 cm - 15 ft

2 cm - x ft

$6x = 30$

$x = \frac{30}{6}$

$x = 5$

The actual width is of 5 ft.

A similar problem is given at brainly.com/question/24743277

6 0

2 years ago