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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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By finding the proportional relation between x and y, we will see that when x = 16, we have y = 32.

<h3>How to get the value of y when x = 16?</h3>

If y varies directly with x, then we can write the relation as:

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First, we know that when x = 4, we have y = 8, replacing that we get:

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If you want to learn more about proportional relations:

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