Question

the graph shows a relationship between the size of 18 households and the average amount of time, in hours, each member spends on chores per week. which equation best models this data set? a. y = 0.34x + 5.19 b. y = -0.34x + 5.19 c. y = -0.34x - 5.19 d. y = 0.34x - 5.19

Explanation:

Step1: Identify slope - direction

The line on the graph is decreasing, so the slope of the line of best - fit is negative. This eliminates options A and D since they have positive slopes ($m = 0.34$).

Step2: Identify y - intercept

The line of best - fit intersects the y - axis above the origin. The y - intercept ($b$ in the equation $y=mx + b$) is positive. Option C has a negative y - intercept ($b=-5.19$), so it can be eliminated.

Answer:

B. $y=-0.34x + 5.19$