Percent Change Day 2:Given Original and Percent

Change, Find the New Amount

Therefore,

__% of (original amt.) = (amt. of change)

By Jim Olsen, W.I.U.#P18

In percent change situations, there are four numbers to pay attention to:

1. Original amount (the “old”/“starting” amount before the change)

2. New amount (the “ending” amount after the change)3. Amount of change (the difference [subtract] between

original and new)4. Percent change (percent increase or decrease).

Recall from Day 1

Put the known numbers in the chart,then figure out the others.

Definition of Percent Change is

Percent  change=amount   of  changeoriginal   amountIf these are known, then find the amount of change

first. Then you can find the “new amount.”

In other words:Take the percent of the original to find the amount of change.

Percent change is used in almost every aspect of life to describe change – and

our world is changing!

Examples:1. If Kevin is currently consuming 3000 calories per day

and wants to increase it by 15%, how many calories will he consume after the increase?

Amount of changeMethod 1: Percent change

Original amount

.153000

(.15)*(3000) 450 amount of change

New amount 3000 450 3450 calories

x

x

Another way:1. If Kevin is currently consuming 3000 calories per day

and wants to increase it by 15%, how many calories will he consume after the increase?

Method 2: 15% of 3000 is amount of change

(.15)*(3000) 450 amount of change

New amount 3000 450 3450 calories

Amount of changeMethod 1: Percent change

Original amount

2.0073

(2.)*(73) 146 amount of change

New amount 73 146 219 hits

x

x

Examples:

2. Sally’s dress shop Facebook page had 73 hits in October. In November, there was a 200% increase. How many Facebook hits did she get in November?

Another way:2. Sally’s dress shop Facebook page had 73 hits in

October. In November, there was a 200% increase. How many Facebook hits did she get in November?

Method 2: 200% of 73 is amount of change

(2.)*(73) 143 amount of change

New amount 73 143 219 hits

Examples:

3. This year we have $2,200 budgeted for travel expenses. For next year there is a budget cut of 8%. How much will we have for travel next year?

Method 2: 8% of $2200 is amount of change

(.08)*(2200) $176 amount of change

New amount 2200 176 $2024

Closing Notes Remember

#P18

Therefore,__% of (original amt.) = (amt. of change)

Stay tuned…

This is Day 2 of 4.

Two more Tweets/Days will follow, with more information on percent change.

Learnist board: http://bit.ly/13AGhZq