1. Unit 6. Day 10.

2. Who has the bigger increase?

3. Who has the bigger increase?+ +

4. Example A: On Monday 8 students came to tutoring
Example A: On Monday 8 students came to tutoring. On Tuesday, 12 students came to tutoring. What is the percent increase in attendance? 4% ?
Monday
Tuesday %

5. . 12 = − 8 4 = = 50 % .5 8 amount of increase Percent of increase
Example A: On Monday 8 students came to tutoring. On Tuesday, 12 students came to tutoring. What is the percent increase in attendance? 8
amount of increase 12
Percent of increase = − 8
original amount 4 4
Percent of increase= = =
50 %
increase
100 𝑥 4
increase =
original 8
original .5 . 5 8 4 . 8𝑥 =
400 −
4 0 8 8
400 8
200 4
100 2 𝑥 = = = = 50

6. Example B: John started a job making $12. 00 per hour
Example B: John started a job making $12.00 per hour. Five years later, he was making $ Find the percent of increase.
5.40% ?
Original
New %

7. . 1 7 . 4 0 − 1 2 . 0 0 = 5 . 4 = = 45 % .45 12 amount of increase
Example B: John started a job making $12.00 per hour. Five years later, he was making $ Find the percent of increase. 12
amount of increase −
Percent of increase =
original amount
5.40 5 . 4
Percent of increase= = =
45 %
increase
100 𝑥
5.40
increase =
original 12
original .
.45 4 5 12
12𝑥 =
540 −
4 8 12 12 6
540 12
270 6
135 3 −
6 0 45 𝑥 = = = =

8. . 1 7 0 − 1 6 0 = 1 = 6.25 % .0625 160 amount of increase
Example C*:
Mr. Jordan weighed 160 lb. when he graduated high school. Now he is 170 lb. Find the percent of increase.
160
1 7 0
amount of increase −
1 6 0
Percent of increase =
original amount 10 1
1 16
Percent of increase= = = =
6.25 %
increase
100 𝑥 10
increase
.0625 . 6 2 5 =
original
160
original 16 1 . −
160𝑥 =
1000
1 0 −
9 6
160
160 4
6 1 4
500 80
250 40 −
3 2 𝑥 = = = = 8

9. Example D:
In January Tom made $2,000. In March he made $2480.
In January Huck made $5,000. In March he made $5800.
Who experienced the greater growth in earnings?
𝐻𝑢𝑐𝑘?
𝑇𝑜𝑚 − − 4 8 8
increase
100 𝑥
480
increase
increase
100 𝑥
800
increase = =
original
2000
original
original
5000
original
2000𝑥 =
48000
5000𝑥 =
80000
2000
2000
5000
5000
80 5
48 2 = 𝑥 = = = 𝑥 = = 24 16

10. Example D:
In January Tom made $2,000. In March he made $2480.
In January Huck made $5,000. In March he made $5800.
Who experienced the greater growth in earnings?
2000
5000
𝐻𝑢𝑐𝑘?
𝑇𝑜𝑚 − −
480 4 8
800 8
% increase=
% increase= . 1 6 . 2 4
5000
8 0 0 .
4 8 0 .
2000 − −
16 %
24 %
8 0 0 − −

12. . 3 . 7 0 − 1 . 7 0 = 2 . = = 54 % .54 . . 3.70 amount of decrease
Example E:
In 2012 a gallon of gas was $3.70. Four years later it sold for $1.70. Find the percent of decrease.
3.70
amount of decrease −
Percent of derease =
original amount 2 2 .
Percent of decrease= = =
54 %
decrease
100 𝑥 2
decrease =
original
3.70
original
.54 . 5 4 5 2 .
3 7 0 .
3.7𝑥 =
200 −
3.7
3.7
1 5 0 − = 𝑥 = =
2 0