Question

4. Candice has been hired as a saleswoman. She is paid a flat rate of $425 each week and earns an additional $17.75 commission for each sale. If her

goal is to make $993 in one week, how many sales must Candice make? (2 points)

Answer 1

Candace must make 32 sales.

Explanation:

You can describe Candice weekly pay as a first degree function.

In our function, each sale n is the independent variable and her pay P is the the dependent variable. P is dependent of n, so we are going to write as P(n).

So, we can model the equation of P as a function of n by the following equation:

P(n) = 425 + 17.75n,

where, as the problem states, 425 is the flat rate and 17.75 is her comission for each sale n.

Now, the question is how many sales must Candace make to make $993 in one week. So, we want P(n) to be equals to $993 and we have to find n.

993 = 425 + 17.75n

Now we just need to solve this equation

993-425 = 17.75n

568 = 17.75n

n = 568/17.75

n = 32

So, to make $993 in one week, Candace must make 32 sales.