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SOLVING PERCENTAGE of CHANGE EQUATIONS PRE213 A dress costs $45 but there’s a 25% off sale. What’s the new price? Sometimes it helps to use a table to.

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Presentation on theme: "SOLVING PERCENTAGE of CHANGE EQUATIONS PRE213 A dress costs $45 but there’s a 25% off sale. What’s the new price? Sometimes it helps to use a table to."— Presentation transcript:

1 SOLVING PERCENTAGE of CHANGE EQUATIONS PRE213 A dress costs $45 but there’s a 25% off sale. What’s the new price? Sometimes it helps to use a table to organize information. PercentReal 100% Change (+/–) New Original STEP 1: set up the table. NEVER CHANGES

2 SOLVING PERCENTAGE of CHANGE EQUATIONS PRE213 A city’s population increases 12% from 1990 to 2000. The population was 125,000 in 1990. What was the new population? PercentReal 100%125,000 +12% Change (+/–) New Original STEP 2: fill out table.

3 SOLVING PERCENTAGE of CHANGE EQUATIONS PRE213 A city’s population increases 12% from 1990 to 2000. The population was 125,000 in 1990. What was the new population? PercentReal 100%125,000 +12% 112%X Change (+/–) New Original STEP 3: fill in missing pieces. We’re asked to find the new population.

4 SOLVING PERCENTAGE of CHANGE EQUATIONS PRE213 A city’s population increases 12% from 1990 to 2000. The population was 125,000 in 1990. What was the new population? Change (+/–) New Original STEP 4: set up a proportion. PercentReal 100%125,000 +12% 112%X 100 112 125,000 x =

5 SOLVING PERCENTAGE of CHANGE EQUATIONS PRE213 A city’s population increases 12% from 1990 to 2000. The population was 125,000 in 1990. What was the new population? STEP 4: solve the proportion. 100 112 125,000 x = 112(125,000) = 100x 14,000,000 = 100x 140,000 = x The new population was 140,000!

6 SOLVING PERCENTAGE of CHANGE EQUATIONS PRE213 A dress costs $45 but there’s a 25% off sale. What’s the new price? PercentReal 100% Change (+/–) New Original Answer on next slide.

7 SOLVING PERCENTAGE of CHANGE EQUATIONS PRE213 A dress costs $45 but there’s a 25% off sale. What’s the new price? PercentReal 100%$45 -25% 75%X Change (+/–) New Original 100 75 45 x = 75(45) = 100x 3375 = 100x $33.75 = x The new price is $33.75!

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