Question

the graph shows a relationship between the size of 18 households and the average amount of time, in hours, each member of the household 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 is decreasing, so the slope is negative. This eliminates options B and C since they have positive slopes ($0.34$).

Step2: Identify y - intercept

The line intersects the y - axis above $y = 0$. For option D, the y - intercept is $- 5.19$ which is below the origin. For option A, the y - intercept is $5.19$ which is above the origin.

Answer:

A. $y=-0.34x + 5.19$