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2 years ago

Tapiwa raked 5% more leaves than Adam raked. Together, they raked 697 liters of leaves. How many liters of leaves did Adam rake?

1 answer:

7 0

Assume that the number of leaves raked by Adam is x.
Tapiwa raked 5% more leaves than Adam, this means that:
Leaves raked by Tapiwa = x + 0.05x = 1.05x liters
We are given that the total number of raked leaves is 697 liters.
This means that:
Total raked = raked by Adam + raked by Tapiwa
697 = x + 1.05x
697 = 2.05x
x = 697 / 2.05
x = 340
Based on the above calculations:
Adam raked 340 liters of leaves
Tapiwa raked 1.05(340) = 357 liters of leaves

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In the given graph, lets mark two points:

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DochEvi [55]

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Read 2 more answers

Paolo Portraits charges $15 per photo with no sitting fee. The graph shows the fees for clear image studio.Compare the functions

liubo4ka [24]

Answer:

The rate of change of Paolo Portraits is $15 per photo and the rate of change of clear image studio is $12 per photo. Paolo Portraits charges are higher than the clear image studio.

Step-by-step explanation:

The rate of change represent the change in one variable with respect to another variable. It also known as slope.

It is given that Paolo Portraits charges $15 per photo with no sitting fee. It means the rate of change of Paolo Portraits is $15 per photo.

The function for Paolo Portraits charges is defined as

$f(x)=15x$

From the given graph it is noticed that the line is passing through the points (0,0) and (1,12).

The slope of the line is

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{12-0}{1-0}=\frac{12}{1}=12$

The function for clear image studio is

$g(x)=12x$

It means the rate of change of clear image studio is $12 per photo.

The rate of change of Paolo Portraits is more than rate of change of clear image studio.

Therefore Paolo Portraits charges are higher than the clear image studio.

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