Exercise 102 Page 285

a Depending on if a percentage change is a decrease or an increase, the multiplier will be less than or greater than

1,

respectively. But first, we need to convert the percentage change into a number.

Percent and

\frac{1}{1 0 0}

are interchangeable. With this information, we can convert the percentage change of

3

to a number.

3 % = 3 \cdot \frac{1}{1 0 0} = 0.03

When the percentage change is an increase, you add the percentage change to

1

to get the corresponding multiplier.

1 + 0.03 = 1.03

b As in Part A, we begin by converting the percentage change into a number.

25 % = 25 \cdot \frac{1}{1 0 0} = 0.25

When the percentage change is a decrease, you subtract the percentage change from

1

to get the corresponding multiplier.

1 - 0.25 = 0.75

c As in Parts A and B, we begin by converting the percentage change into a number.

13 % = 13 \cdot \frac{1}{1 0 0} = 0.13

When the percentage change is a decrease, you subtract the percentage change from

1

to get the corresponding multiplier.

1 - 0.13 = 0.87

d As in Parts A through C, we begin by converting the percentage change into a number.

2.08 % = 2.08 \cdot \frac{1}{1 0 0} = 0.0208

When the percentage change is an increase, you add the percentage change to

1

to get the corresponding multiplier.

1 + 0.0208 = 1.0208

5.3.1 Comparing Growth in Tables and Graphs p.277-278

5.3.2 Using Multipliers to Solve Problems p.285-288

5.3.3 Comparing Sequences to Functions p.292-293