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4 votes
Jason is a salesperson who sells computers at an electronics store. He makes a base

pay of $55 each day and then is paid a $3.75 commission for every computer sale he
makes. The maximum amount the store will pay an emplyee in a day is $355.Write an
equation for the function P(x),P(x), representing Jason's total pay on a day on which
he sells xx computers.
3

User Matos
by
3.5k points

2 Answers

9 votes

Final answer:

The equation for the function P(x) representing Jason's total pay when he sells xx computers is P(x) = min(355, 55 + 3.75x), where x is the number of computers sold.

Step-by-step explanation:

The function P(x), representing Jason's total pay on a day when he sells xx computers, can be expressed as:

P(x) = 55 + 3.75x

Where:

  1. P(x) is the total pay;
  2. 55 is the base pay;
  3. 3.75x represents the commission for each computer sale, where x is the number of computers sold.

However, the store will only pay a maximum of $355 in a day. So, we need to set an additional condition to limit the total pay:

P(x) = min(355, 55 + 3.75x)

This equation ensures that Jason's total pay will not exceed $355, even if he sells a large number of computers.

User Narabhut
by
3.8k points
9 votes

Answer:

$66.25

Step-by-step explanation:

Step one:

given data

Base pay of $55 each day

Paid a $3.75 commission for every computer sale he

let the number of computer be x

and the total be y

y=55+3.75x

Step two:

We are told that maximum is $355

y= 55+3.75x

for x= 3

y=55+3.75*3

y=55+11.25

y=$66.25

User SimonGates
by
3.7k points