Answer:
y = 65x + 250
Step-by-step explanation:
Let the linear equation representing the relation between total pay and number of computers sold be,
y = mx + c
Here, m = commission on every computer sold = slope of the linear function
c = weekly salary
y = total pay
x = number of computer sold each week
Since, slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table attached,
Slope of the line passing through (4, 510) and (6, 640),
m = [tex]\frac{640-510}{6-4}[/tex]
= 65
Equation of the line will be,
y = 65x + c
Since, this line passes through (4, 510),
510 = 65(4) + c
c = 510 - 260
c = 250
Therefore, equation of the line will be,
y = 65x + 250
