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The graph below shows the number of hours a group of
children studied for a test and the score on a math exam.
-90-
-80-
-70
-60-
If Sophia studies for 5% hours, what is a
reasonable estimate of her score on the
math exam?
A) 50
B) 77
-50-
-40
C) 96
-30
D)
62
-20
-10
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The graph below shows the number of hours a group of children studied for a test and the score on a math exam 90 80 70 60 If Sophia studies for 5 hours what is class=


Answer :

Intriguing456

Answer:

B) 77

Step-by-step explanation:

We are asked to interpolate data based on a given approximate linear relationship between:

  • time spent studying
  • score on exam

If we declare the variables:

  • [tex]t[/tex] = time spent studying
  • [tex]y[/tex] = score on exam

we can draw a best fit line for the dataset that is approximately:

[tex]y \approx \left(\dfrac{85-50}{6-1}\right)\!t + 38[/tex]

[tex]y \approx 7t + 38[/tex]

Using this best fit line, we can calculate a score estimate for Sophia, who has studied for 5.5 hours. Plugging this into our estimate equation, we get:

[tex]y \approx 7(5.5) + 38[/tex]

[tex]y\approx76.5 \approx 77[/tex]

So, the correct answer is B) 77.

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