Question

Lee sells electronics. He earns a 5% commission on each sale he makes.

a. Write an equation that shows the proportional relationship between the dollar amount of electronics Lee sells,
d, and the amount of money he makes in commission, c.




b. Express the constant of proportionality as a decimal.






c. Explain what the constant of proportionality means in the context of this situation.







d. If Lee wants to make $100 in commission, what is the dollar amount of electronics he must sell?

Answer 1

a) c = (5/100)*d

b) c = 0.05*d

c) The ratio between what Lee recieves and what he sold.

d) d = 2000

Explanation:

Since Lee earns 5% in commission for each sale then:

a) c = (5/100)*d

b) c = 0.05*d

c) In this context the constant of proportionality means the ratio of the value Lee sold that he'll earn as a comission.

d) Since he wants to earn $100, then c = 100 and we solve for d

c = 0.05*d

100 = 0.05*d

0.05*d = 100

d = 100/0.05 = $2000

He needs to sell $2000.