Question

Hal earns n dollars per hour. Next month he will receive a 2% raise in pay per hour. The expression

n + 0.02n is one way to represent Hal's pay per hour after the raise. Write an equivalent simplified
expression that will represent his pay per hour after the raise.​

Answer 1

1.02n

Explanation:

A simplified version of this expression would be the following

1.02n

This is basically adding the n variables together. We do this by adding a 1 to the number being multiplied to n. This would basically add the 2% on top of what the original pay per hour is. We can prove that these two expressions are the same by substituting n for 10 in both expressions and solving them.

1.02n

1.02 * 10 = 10.2

n + 0.02n

10 + 0.02*10

10 + 0.2 = 10.2