A student raises her grade average from a 75 to a 90. What was the percent of increase in the student’s grade average? Round your answer to the nearest tenth of a percent, if necessary.
• 20%
• 16.7%
• 8.3%
• 15%
15%
20%
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To find the percent of increase in the student's grade average, you need to calculate the difference between the initial grade average and the final grade average, and then express that difference as a percentage of the initial grade average.
Step 1: Calculate the difference between the initial grade average and the final grade average.
Difference = Final grade average - Initial grade average
Difference = 90 - 75
Difference = 15
Step 2: Express the difference as a percentage of the initial grade average.
Percentage increase = (Difference / Initial grade average) * 100
Percentage increase = (15 / 75) * 100
Percentage increase = 0.2 * 100
Percentage increase = 20%
Therefore, the percent of increase in the student's grade average is 20%.