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olasank [31]
3 years ago
14

Ms. Walker used a coordinate plane to plot her students' scores on a recent quiz. She let x represent the number of correct answ

ers they had on their quiz and y represent the number of points earned. She then plotted the ordered pairs (17, 68), (20, 80), and (24, 96) to represent the data from three students.
What is the slope of the graph in points per question?

Mathematics
1 answer:
Lelechka [254]3 years ago
6 0

Answer:

Slope = 4

Step-by-step explanation:

The x-axis values to represent the number of correct answers.

The y-axis values to represent the number of points earned.

The points on the graph are: (17,68) , (20,80) and (24,96)

The slope(m) of the graph = change in y ÷ change in x

i.e \frac{80 - 68}{20 - 17} = \frac{96 - 80}{24 - 20} = 4

The equation of the straight line graph is;

y=4x

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The factored expression which represents the net change in the number of blog subscriptions over 10 months is :

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Change : -8, 11, -7, -7, -7, -8, -8, -8, 11, 11

To factor the values in the change variable :

-7 has a frequency of 3

-8 has a frequency of 4

11 has a frequency of 3

Values having the same frequency can be factored together :

Hence, we have ;

3(11 - 7) = 3(11 - 7) = 3(4) = 12 - - - - (1)

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Joining both equations :

3(11-7) + 4(-8)

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3(4) + 4(-8)

12 + (-32)

= - 20

Therefore, the factored expression for the net change in subscription is 3(11-7) + 4(-8)

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