Question

Dave receives a salary of $200 a week plus a commission of 10% of his weekly sales. An equation y=mx+b represents Dave’s weekly earnings. The y-intercept is Dave’s base salary. The slope of the line is his commission.Write an equation representing Dave’s weekly earnings.

Answer 1

y=200+x/10 or more neatly

y=(2000+x)/10

Answer 2

y = 0.1x + 200,

Slope = 0.1,

y-intercept = 200

Explanation:

Given,

The original salary = $ 200,

Commission percentage on the sale = 10%,

If Dave sold x units,

Thus, the amount of commission for x units sale = 10% of x,

`=(10* x)/(100)`

= 0.1x

Then, the total earning = commission for x units + original salary

⇒ y = 0.1x + 200,

∵ the slope of the line y = mx + c is m,

So, the slope = 0.1,

For y-intercept, x = 0,

⇒ y = 200

Thus, y-intercept is 200.