Answer:
proof is where you have something to explain/show what you saw to people when they don't believe you.
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
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
The function for clear image studio is
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.
The ordered pair which is a solution to the given inequality is: C. (2, 1).
<h3>What is an inequality?</h3>
An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
- Less than (<).
- Greater than (>).
- Less than or equal to (≤).
- Greater than or equal to (≥).
Next, we would test the ordered pair with the given inequality to determine a solution as follows:
For ordered pair (4, 4), we have:
3x + 2y < 15
3(4) + 2(4) < 15
12 + 8 < 15
20 < 15 (False).
For ordered pair (3, 3), we have:
3x + 2y < 15
3(3) + 2(3) < 15
9 + 6 < 15
15 < 15 (False).
7x - 4y > 9
7(3) - 4(3) > 9
21 - 12 > 9
9 > 9 (False)
For ordered pair (2, 1), we have:
3x + 2y < 15
3(2) + 2(1) < 15
6 + 2 < 15
8 < 15 (True).
7x - 4y > 9
7(2) - 4(1) > 9
14 - 4 > 9
10 > 9 (True)
For ordered pair (1, 0), we have:
3x + 2y < 15
3(1) + 2(0) < 15
3 + 0 < 15
3 < 15 (True).
7x - 4y > 9
7(1) - 4(0) > 9
7 - 4 > 9
3 > 9 (False)
Read more on inequality here: brainly.com/question/27166555
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The answer to this problem is X<3
