Question

Ernesto received a raise in his hourly pay, from $21.45 to $25.15. Find the percent change rounded to the nearest tenth of a percent. Write your answer in a complete sentence.

a) The percent change is 14.0%.
b) The percent change is 17.5%.
c) The percent change is 19.0%.
d) The percent change is 21.5%.

Answer 1

To find the percent change in Ernesto's pay, subtract the original pay from the new pay, divide by the original pay, and multiply by 100. The percent change in Ernesto's hourly pay is 17.2%, so the correct answer is b) The percent change is 17.2%.

Step-by-step explanation:

To calculate the percent change in Ernesto's hourly pay, we have to subtract his original pay from his new pay and then divide the result by his original pay. Finally, we multiply by 100 to get the percentage.

The calculation is as follows:

1. Find the change in pay: $25.15 - $21.45 = $3.70
2. Divide by the original pay: $3.70 / $21.45
3. Calculate the percent change: ($3.70 / $21.45) × 100

After performing the calculations, we have:

1. ($3.70 / $21.45) = 0.172493
2. 0.172493 × 100 = 17.2493%

Rounded to the nearest tenth of a percent, the percent change in Ernesto's hourly pay is 17.2%%.

Therefore, the correct choice is b) The percent change is 17.2%%.