Liz's math test included a survey question asking how many hours students spent studying for the test. The scatter plot below shows the relationship between how many hours students spent studying and their score on the test. A line was fit to the data to model the relationship. Which of these linear equations best describes the given model? Choose 1 answer:

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Mahesh Godavarti (last edited 2 years ago) (Expert, Founder @Qalaxia)

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Liz's math test included a survey question asking how many hours students spent studying for the test. The scatter plot below shows the relationship between how many hours students spent studying and their score on the test. A line was fit to the data to model the relationship.

Which of these linear equations best describes the given model?

(Choice A)

y=10x+20

(Choice B)

y=20x+20

(Choice C)

y=-20x+20

Based on this equation, estimate the score for a student that spent 3.8 hours studying.

The line of best fit passes through (0, 20) and (1, 40)

Therefore, the equation of the line is given by (y - 20) = (40 - 20)/(1 - 0) x (x - 0)

y - 20 = 20x => y = 20x + 20.

So, the correct answer is: B)

Plug in x = 3.8 into the equation, we get y = 96.

So, the estimated score for a student studying 3.8 hours is 96.