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:
[tex]y-y_1=m(x-x_1)[/tex]
where m represents the rate of change of the pay to the change in the worth of the merchandise
[tex]\begin{gathered} m\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ m\text{ = }\frac{520-388}{1000-400} \\ m\text{ = }\frac{132}{600} \\ m\text{ = }0.22 \end{gathered}[/tex]
Alysse's salary when she sells $3300 worth of merchandise
x = 3300
[tex]\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}[/tex]
Alysse's salary when she sells $3300 worth of merchandise = $1026
