Question

Find Alysse's salary when she sells $3,300 worth of merchandise. Enter the correct answer. As a salesperson at Scrapbooks and Treasures, Alysse receives a monthly base pay plus commission on all that she sells. If she sells $400 worth of merchandise in one month, she is paid $388. If she sells $1,000 of merchandise in one month, she is paid $520

Answer 1

Answer:

$1026

Explanations:

Let x represent the worth of merchandise sold in one month

Let y represent the monthly pay received

If she sells $400 worth of merchandise in one month, she is paid $388

x₁ = 400, y₁ = 388

If she sells $1,000 of merchandise in one month, she is paid $520​

x₂ = 1000, y₂ = 520

The equation representing the relationship between the worth of merchandise sold and the pay is:

`y-y_1=m(x-x_1)`

where m represents the rate of change of the pay to the change in the worth of the merchandise

`\begin{gathered} m\text{ = }(y_2-y_1)/(x_2-x_1) \\ m\text{ = }(520-388)/(1000-400) \\ m\text{ = }(132)/(600) \\ m\text{ = }0.22 \end{gathered}`

Alysse's salary when she sells $3300 worth of merchandise

x = 3300

`\begin{gathered} y\text{ - 388 = 0.22 (3300 - 400)} \\ y\text{ - 388 = }726\text{ - }88 \\ y\text{ - 388 = }638 \\ y\text{ = 638 + 388} \\ y\text{ = }1026 \end{gathered}`

Alysse's salary when she sells $3300 worth of merchandise = $1026