Question

The graph shows Wilson's science scores versus the number of hours spent doing science homework.

A graph titled Wilsons Science Scores shows Hours of Practice in a Week on x axis and Science Scores on y axis. The x axis scale is shown from 0 to 5 at increments of 1, and the y axis scale is shown from 0 to 50 at increments of 5.The ordered pairs 0, 15 and 0.5, 18 and 1, 18 and 1.5, 25 and 2, 30 and 2.5, 35 and 3, 40 and 3.5, 43 and 4, 41 and 4.5, 45 and 5, 48 are shown on the graph. A straight line joins the ordered pairs 0, 14.9 and 5, 50.
What will most likely be Wilson's approximate science score if he does science homework for 6 hours a week? (5 points)

33 points
42 points
52 points
55 points

Answer 1

Since we are given a straight line on the graph that connects the two endpoints, we can assume that Wilson's scores will follow a linear relationship with the number of hours of science homework done. We can use the equation of the line to estimate Wilson's approximate science score for 6 hours of science homework.

From the graph, we can see that the slope of the line is:

slope = (50 - 14.9) / (5 - 0) = 35.1 / 5 = 7.02

This means that Wilson's science score increases by approximately 7.02 for each additional hour of science homework per week.

To estimate Wilson's score for 6 hours of science homework, we can use the equation of the line:

y = mx + b

where y is Wilson's science score, x is the number of hours of science homework per week, m is the slope of the line, and b is the y-intercept of the line.

We can use the point (0, 14.9) on the line to find the value of b:

14.9 = 7.02(0) + b

b = 14.9

Now we can use the equation of the line to estimate Wilson's score for 6 hours of science homework:

y = 7.02(6) + 14.9

y = 42.12 + 14.9

y = 57.02

Therefore, Wilson's approximate science score if he does science homework for 6 hours a week would be around 57.02.

Explanation: