Eva is a salesperson who sells computers at an electronics store. She is paid a $2.50 commission for every computer sale she makes and she also makes a guaranteed base pay of $55 each day. Write an equation for P, commaP, in terms of x, commax, representing Eva's total pay on a day on which she sells xx computers.
Answer


To write an equation for Eva's total pay $ P $ in terms of the number of computers she sells, $ x $, let's break down the information:

- Eva earns a base pay of $55 per day.
- She earns a commission of $2.50 for each computer sold.

The total pay $ P $ would be the sum of her base pay and the commission she earns from selling $ x $ computers.

Thus, the equation for $ P $ is:

\[
P = 55 + 2.50x
\]

Where:
- $ P $ is Eva's total pay for the day.
- $ x $ is the number of computers sold.

Would you like further details or have any questions? 

Here are 5 related questions to consider:
1. What would Eva's total pay be if she sells 10 computers in one day?
2. If Eva wants to make $105 in a day, how many computers must she sell?
3. What is the minimum amount of money Eva will make even if she sells no computers?
4. How does increasing the number of computers sold by 1 affect her total pay?
5. How much commission will Eva earn if she sells 20 computers in a day?

**Tip:** For linear equations like this one, the slope represents the rate of change—in this case, the commission per computer!

Eva is a salesperson who sells computers at an electronics store. She is paid a $2.50 commission for every computer sale she makes, and she also makes a guaranteed base pay of $55 each day. Write an equation for P, in terms of x, representing Eva's total pay on a day on which she sells x computers.

Learn how to write and solve a linear equation for calculating Eva's total pay based on her base salary of $55 and a commission of $2.50 per computer sold. Suitable for Grades 6-8 students, this example covers core algebraic concepts with real-world applications.

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