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5.4 APPLICATIONS OF PERCENTI can find and estimate solutions to application problems involving percent and use different ways to represent a situation.
Finding Sales Tax
A video game costs $34.98. The sales tax rate is 5.5%. How much will you pay for the video game?
Find the sales tax A = 0.055(34.98) and round to the
nearest hundredth A ≈ 1.92 Add to the original cost $34.98 + $1.92 = $36.90 (the total cost)
Estimating a Tip
Use estimation to calculate a 15% tip for $34.50.
Round to the nearest dollar $35
Find 10% of the bill: 0.1(35) = $3.50 Find 5% of the bill. 5% is ½ of the 10%
amount $1.75
Add 10% amount and 5% amount to get $5.25
A 15% tip for $34.50 is about $5.25
Finding a Commission
Find the commission on a $300 sale, with a commission rate of 8.5%
A = 0.085(300) $25.50
Practice
Find the total earnings for a salesperson with a salary of $550 plus 4% commission on sales of $1,485.
total earnings = salary + commission 550 + 0.04(1485) 550 + 59.4 $609.40
Percent Error in Manufacturing A 625-g mass measures 625.18 g. What
is the percent error? Percent error = ∙ 100 Percent error = ∙ 100 Percent error = ∙ 100 = 0.0288% Round to nearest hundredth: 0.03%
Assignment
ODDS P.195 #9-27