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Felo L tmil N his The following table shows the relationship between math test s

ID: 3196418 • Letter: F

Question

Felo L tmil N his The following table shows the relationship between math test scores and study time two weeks prior to the math test. Round all answers to the nearest tenth. 1. Study Time (hours) 2.1 8.8 Math Test Scores (percent 10 80 A) Name the independent variable. 8) Determine the growth rate (slope) from the above data. C) Describe what the slope means, and be sure to include the proper units D) Determine the equation that relates math test scores (T) and study time (S). E) Predict the math test score for a study time of 4.7 hours.

Explanation / Answer

1.

A) Independent variable is S ( study time)

B)

Growth rate ( slope) can be given as :

(80-10)percent / (8.8-2.1)hours = 10.45 percent/hour

C)  

The unit of slope is percent per hour. It means the test scores per study hour.

D)

we know that equation of a straight line is : y = mx+c

Where c is the y intercept. We can find y intercept as

80= 10.45(8.8) +c

c = -11.96

So the equation would be :

T = 10.45*S -11.96

E) For S = 4.7 hours

T = 10.45*4.7 - 11.96

T ~ 37.16 percent