Question

rtemis and Erin have new jobs at Freezy's Ice Cream Parlor. Artemis is Erin's manager. In their first year, Artemis will be paid $16 per hour, and Erin will be paid $9 per hour. They have been told that after every year with the company, they will each be given a raise of $2 per hour. Is the relationship between Artemis' pay and Erin's pay rate proportional?

Answer 1

There is no real proportionality between the two salaries but with the passage of time Erin will narrow the salary gap with respect to Artemis.

To determine if the relationship between Artemis' pay and Erin's pay rate is proportional, the following mathematical logical reasoning must be carried out from a cross multiplication calculation:

The salary of each of them must be compared in percentage terms, and then the salary increases compared in percentage.

• 16 = 100
• 9 = X
• 9 x 100/16 = X
• 900/16 = X
• 56.25 = X

Thus, in the first year, Erin's salary is 56.25% of Artemis's salary.

• 16 + 2 = 100
• 9 + 2 = x
• 11 x 100/18 = X
• 1,100 / 18 = X
• 61.11 = X

In contrast, in the second year, Erin's salary will be 61.11% of Artemis's.

Thus, as can be seen, there is no real proportionality between the two salaries but with the passage of time Erin will narrow the salary gap with respect to Artemis.

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