Question

the table below shows the number of hours spent watching television and the student’s test score, the day before a test and the test scores earned by a group of students? hours spent watching television | test score 1 | 97 2 | 87 4 | 67 7 | 37 8 | 27 which statement best describes the relationship between the number of hours spent watching television and the student’s scores? the students’ scores decreased by 10 for every 1 hour they watched television. the students’ scores decreased by 20 for every 1 hour they watched television. the students’ scores increased by 10 for every 1 hour they watched television. the students’ scores increased by 20 for every 1 hour they watched television.

Explanation:

Step1: Analyze the data

We have pairs of hours spent watching TV and test scores: (1, 97), (2, 87), (4, 67), (7, 37), (8, 27).

Step2: Calculate the change in score per hour

Take two points, e.g., (1, 97) and (2, 87). The change in hours is \(2 - 1 = 1\) hour. The change in score is \(87 - 97 = -10\). So for each additional hour, the score decreases by 10. Check with another pair: (2, 87) and (4, 67). Hours change: \(4 - 2 = 2\), score change: \(67 - 87 = -20\), so per hour: \(\frac{-20}{2} = -10\). This confirms the score decreases by 10 for each hour of TV.

Answer:

The students’ scores decreased by 10 for every 1 hour they watched television.