Question

Teresa is a software engineer. Her base salary is $2400 and she makes $80 more for every copy of “Math is Fun”. Her total pay , P, (in dollars), after selling c copies is given by the following function.

P(c) = 2400 + 80c

1. What is Teresa’s total pay if she sells 22 copies?

2. If Teresa’s total pay is $5040, how many copies did she sell?

Answer 1

1.) Teresa’s total pay if she sells 22 copies is $4160.

2.) If Teresa’s total pay is $5040, then she sold 33 copies.

Explanation:

Given;

• Teresa is a software engineer. Her base salary is $2400.
• she makes $80 more for every copy of “Math is Fun”.
• P(c) = 2400 + 80c

To Find;

• Teresa’s total pay if she sells 22 copies
• If Teresa’s total pay is $5040, how many copies did she sell?

1.)

Teresa’s total pay if she sells 22 copies

P(c) = 2400 + 80c

P(22) = 2400 + 80(22) = 1760

P(22) = 2400 + 1760

P(22) = $4160

Thus, Teresa’s total pay if she sells 22 copies is $4160.

2.)

If Teresa’s total pay is $5040, how many copies did she sell?

Here,

Total pay – Teresa's salary = total pay after selling copies

$5040 – $2400 = $2640

Now, we know that she paid $80 for making every copy.

So,

2640 ÷ 80 = 33

Thus, If Teresa’s total pay is $5040, then she sold 33 copies.

-TheUnknownScientist 72