Percent of change is the ratio that compares the change in a quantity to the original amount.
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Practice makes perfect
We want to compare the percents of change in the amount of money Catalina earned from April to May to the amount of money she earned from May to June. Let's start by finding the first percent of change. Recall that a percent of change is a ratio that compares the change in a quantity to the original amount. To find the percent of change, we can use the following formula.
Percent of change =Amount of change/Original amount
We know that Catalina charges $ 6.50 per hour for babysitting. According to the given table, she worked 30 hours in April and 35 hours in May. Let's use this information to calculate how much she earned each month.
Earnings in April& = 30 * $ 6.50 = $ 195 Earnings in May& = 35 * $ 6.50 = $ 227.50
She earned $ 195 in April and $ 227.50 in May. We can find the amount of change in earnings by subtracting the lesser value from the greater one.
Amount of change = $ 227.50 - $ 195= $ 32.50
The difference in Catalina's earnings between April and May is $ 32.50. Now we can use the formula to find the percent of change. For simplicity, we will ignore the units for now.
Percent of change=Amount of change/Original amount
The percent of change in the amount of money Catalina earned from April to May is about 17 %. Next, let's find the percent of change in the amount of money she earned from May to June.
We found earlier that Catalina earned $ 227.50 in May. She worked 45 hours in June, so she earned $ 6.50 * 45= $ 292.50 that month. Let's find the amount of change in her earnings.
Amount of change = $ 292.50 - $ 227.50= $ 65
We found that the difference in Catalina's earnings between May and June is $ 65. Now we can use the formula to find the percent of change.
Percent of change=Amount of change/Original amount
The percent of change in the amount of money Catalina earned from May to June is about 29 %. Finally, let's compare the percents of change that we found.
17 % < 29 %
The percent of change in the amount of money Catalina earned from April to May is less than the percent of change in the amount of money she earned from May to June.
