Question

Relationship A has a greater rate than Relationship B. This table represents Relationship B.Hours worked2458Amount paid30.4060.8076121.60Which equation could represent Relationship A?Hours worked is represented by x and Amount paid is represented by y.Select each correct answer.y = 15.4xy = 15.2xy = 16.4xy = 14.9x

Answer 1

`\begin{gathered} y=15.4x \\ y=16.4x \end{gathered}`

Explanation:

We can calculate the equation that represents relationship B, calculating the slope using the data from the table, like this:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ \text{replacing} \\ m=(121.60-30.40)/(8-2) \\ m=(91.2)/(6) \\ m=15.2 \end{gathered}`

Therefore, the equation of relationship B is:

`y=15.2x`

Therefore, the relationship A, having a greater rate, could be the following:

`\begin{gathered} y=15.4x \\ y=16.4x \end{gathered}`