Math Problem Statement

Axel was looking over his paycheck over the last year and noticed that his paycheck is more over the summer since he can work more hours. If his paycheck will increase by 22% next year, approximately how much should he expect to earn?

Solution

Let's solve this step-by-step.

Task:

Axel's paycheck will increase by 22% next year. We need to calculate approximately how much he should expect to earn, using the information in the table.

Steps:

  1. Find the average of the current paychecks: We need to sum all the paychecks and divide by the number of checks to get the average.

  2. Increase this average by 22%: Multiply the average by 1+0.22=1.221 + 0.22 = 1.22.

  3. Choose the closest value from the provided options.

Let's start by calculating the total of Axel's paychecks over the year. I'll sum them and find the average, then apply the 22% increase.The expected paycheck for Axel next year, after a 22% increase, is approximately $330.98.

The closest value from the options is $331.08.

Would you like further details or have any questions?

Here are 5 related questions you might find useful:

  1. How do you calculate percentage increases?
  2. What is the formula for finding the average of a set of numbers?
  3. How can percentage increases affect salary planning?
  4. How can you estimate future earnings based on past data?
  5. What are common mistakes when calculating percentage increases?

Tip: Always check your work by rounding carefully when comparing to given choices!

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Math Problem Analysis

Mathematical Concepts

Averages
Percentage Increase
Basic Arithmetic

Formulas

Average = (Sum of all paychecks) / (Number of paychecks)
Percentage Increase = Original Value * (1 + Percentage)

Theorems

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Suitable Grade Level

Grades 6-8