Question

Juan is a software salesperson. His base salary is $2300 and he makes 70$ more for every copy of History is Fun he sells. His total pay, P (in dollars), after selling copies is c given by the following.

P=2300 + 70c
(a) What is Juan's total pay if he sells 22 copies?
(b) If Juan's total pay is $4610, how many copies did he sell?

Answer 1

Juan's total pay for selling 22 copies is $3840. If his pay is $4610, then he sold 33 copies. The calculations were made using the provided linear equation P=2300 + 70c, where P represents the total pay and c represents the number of copies sold.

Step-by-step explanation:

The questions posed are related to linear equations, which are fundamental components of algebra in mathematics. Specifically, these questions deal with a scenario where Juan's pay is determined by a base salary and a variable component that depends on his sales.

Part A:

Juan's total pay, if he sells 22 copies, is calculated by substituting c with 22 in the equation P=2300 + 70c. Thus, his total pay would be:

P = 2300 + 70(22)
P = 2300 + 1540
P = $3840

Part B:

If Juan's total pay is $4610, we need to solve the equation P=2300 + 70c for c when P is $4610. This can be done by subtracting the base salary from the total pay and then dividing by the variable component's amount per sale:

4610 = 2300 + 70c
70c = 4610 - 2300
70c = 2310
c = 2310 / 70
c = 33

Juan sold 33 copies.

Answer 2

(a) $3840 (b) 33 copies

Step-by-step explanation:

Note: Here P refers to total money earned, c refers to copies sold.

(a)

using the given equation:

P = 2300 + 70c

P = 2300 + 70(22)

P = 2300 + 1540

P = 3840

Juan's total pay is $3840 if he sells 22 copies.

(b)

2300 + 70c = 4610

70c = 4610 - 2300

70c = 2310

c = 33

He sold 33 copies to earn total $4610.