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7-8
Method 1 Write an Equation
percent increase
Let RIthe percent increase.
RI
RI Divide to simplify.
RI2.32 Round the decimal to the nearest hundredth.
RI232% Multiply the decimal by 100 to write as a percent. Write the % sign.
4.4
- 9
Subtract the original amount from the new amount
to find the amount of increase. Substitute 6.3 for
the new amount and 1.9 for the original amount.
6.3 1. 9
- 9
amount of increase
original amount
Method 2 Write and Solve a Proportion
Let nthe unknown percent increase.
6.3 1.9 4.4
440 1. 9n
Divide both sides by 1.9. Round to the nearest one.
232 n
So the percent increase in the value of world exports from 1985 to 2000 was about 232%.
- 9n
- 9
440
- 9
Substitute 4.4 for the amount of increase
and 1.9 for the original amount. Cross multiply.
n
100
4.4
- 9
percent increase (%)
100
amount of increase
original amount
Subtract the original amount from the new amount
to find the amount of increase.
part
whole
Update your skills. See page 408 III.
Percent Increase
Objective To find the percent increase •To find profit •To find the
selling price for an item sold at a profit
According to the United Nations Department of
Public Information, world exports had a total value
of $1.9 trillion in 1985. Fifteen years later, world
exports had a total value of $6.3 trillion. About what
percent increase was there in the value of world
exports from 1985 to 2000?
To find the in the value of world
exports, compare the amount of increase to the
original amount.
You can use the formula or a proportion
to find the percent increase. Notice that since
both amounts in the problem are in trillions,
the nonzero digits can be used to calculate
the percent increase.
percent increase
Key Concept
Percent change is the ratio comparing a
change in a quantity to the original amount.
A change in a number or a quantity is an
increase or a decrease.
percent change
Percent Change
amount of change
original amount