Question

Harper is a salesperson who sells computers at an electronics store. She makes a base pay amount of $100 per day regardless of sales and she earns a commission of 1% of the dollar amount of all sales that she makes. Write an equation for P, in terms of x, representing Harper's total pay on a day on which she sells x dollars worth of computers.
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Answer 1

Given:

Base pay amount for Harper=$$100$ per day

Percentage of commission on each dollar amount = $1$%

Aim:

To write a final equation representing Harper's total pay at the end of the day.

Step-by-step explanation:

• From data, it is clear that the total pay for a day is denoted by "$P$".
• The worth of computers sold in one day is denoted by "$x$".
• Also, given that, the basic pay amount of $$100$ is regardless of the sales done by Harper.
• Harper also earns $1$% $(=1/100)$ commission on sales of each dollar amount.
• Let the total commission earned at the end of the day is denoted by "$C$".

Using the data, the total commission earned by Harper at the end of the day on "$x$" dollars is given by:

$C=x*(1/100)\\C=x/100$

• Let the base pay be denoted by "$B$".

Now, the total pay for the day can be calculated using the formula:

$P=B+C$.....(1)

∴ The final pay received by Harper is calculated using equation (1) in the following way:

$P=100+(x/100)$

Final Answer:

The required final equation representing Harper's total pay on a day is given by:

$P=100+(x/100)$