1-1 Application of Percents - Portion Formula Portion (P) = Base (B) x Rate (R) Portion “is”...
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Transcript of 1-1 Application of Percents - Portion Formula Portion (P) = Base (B) x Rate (R) Portion “is”...
1-1
Application of Percents - Portion Formula
Portion (P) = Base (B) x Rate (R)
Portion “is”
Base “of” Rate “%”
Base: 100% - whole. Usually given afterthe word of – but not always
Rate: Usually expressed as a percent butcould also be a decimal or fraction.
Portion: A number – not a percent andnot the whole
1-2
Solving for Portion
Sales of McDonalds drive-thru customers are 60% of total sales. Total sales are $1,600,000. What are the drive-thru sales?
Portion = Base x Rate
P = $1,600,000 x .60
P = $960,000
1-3
Solving for Rate
Sales of McDonalds drive-thru customers are $960,000. Total sales are $1,600,000. What Percent of customers eat in the restaurant?
Rate = Portion Base
R = $640, 000 $1,600,000
R = 40%
$1,600,000 - 960,000
1-4
Solving for Base
Sales of McDonalds drive-thru customers are 60% of total sales. Sales of eat-in customers are $640,000. What are total sales?
Base = Portion Rate
B = $640,000 .40
B = $1,600,000
eat in sales
Percent of customers that eat-in
1-5
Rate of Percent Decrease
15 oz.
Rate = PortionBase
Rate = 12 15
Amount of Decrease (P)
Original Weight (B).80 or 80%
Decrease3 oz.
Original New
Percent of Decrease (R)
1-6
Rate of Percent Increase
$1,000
Rate = PortionBase
Rate = $1,500 $1,000
Original sales (B)1.5 or 150%
Increase$2,500
Original New
Amount of Increase (P)
Percent of Increase (R)
1-7
Solving Word Problems for Unknowns
1) Read the entire Problem
2) Ask: “What is the problem looking for
3) Let a variable represent the unknown
4) Visualize the relationship between the unknowns and variables. Then set up equation
5) Check your results
Y = Computers
4Y + Y = 600
1-9
Solving Word Problems for the Unknown
Unknown(s) Variable(s) Relationship
Barbie and Ken sell cars at the Auto World. In April they sold 15 cars. Barbie sold twice as many cars as Ken. How many cars did each sell?
2C + C = 153C = 15
C = 5
Barbie - 10 Cars
Ken 5 Cars
Cars Sold
Barbie 2C 2C
Ken C +C
15
1-10
Solving and Graphing Inequalities
** If you multiply or divideby a negative number, switch the direction of
the inequality.
1-19
Solving and Graphing Inequalities
** If you multiply or divideby a negative number, switch the direction of
the inequality.