Question

The graph shows a relationship between the size of 18 households and the average amount of time, in hours, each member of the householdspends on chores per week.O31234567Household MembersWhich equation best models this data set?

Answer 1

Solution

Step 1:

Pick the two points where the line passes through.

The points are: (3, 4.25) and ( 8, 2.5)

Step 2:

$\begin{gathered} \frac{y\text{ - 4.25}}{x\text{ - 3}}\text{ = }\frac{2.5\text{ - 4.25}}{8\text{ - 3}} \\ \\ \frac{y\text{ - 4.25}}{x\text{ - 3}}\text{ = }\frac{-1.75}{5} \\ \\ \frac{y\text{ - 4.35}}{x\text{ - 3}}\text{ = -0.35} \\ \\ y\text{ - 4.25 = -0.35x + 1.05} \\ \\ y\text{ = -0.35x + 1.05 + 4.25} \\ \\ y\text{ = -0.35x + 5.3} \\ \end{gathered}$