As a clock salesman at the Time Store, Trent helps customers pick out the right clock for their needs. He earns a commission on each clock he sells. There is a proportional relationship between the price (in dollars) of a clock Trent sells, x, and the commission (in dollars) he earns, y.

Question

As a clock salesman at the Time Store, Trent helps customers pick out the right clock for their needs. He earns a commission on each clock he sells. There is a proportional relationship between the price (in dollars) of a clock Trent sells, x, and the commission (in dollars) he earns, y.

If Trent sells a clock for $50, he earns a $4 commission. Write the equation for the relationship between x and y.

Answer 1

We can write the equation in the form y = kx, where k represents the constant of proportionality.

By substituting the given values, we have 4 = k(50).
To find the value of k, we divide both sides of the equation by 50: k = 4/50 = 0.08.
Therefore, the equation for the relationship between x and y is y = 0.08x.