Calculating Tips and Balances

This video tutorial covers solving problems with rational numbers, including calculating retail and wholesale prices, analyzing checking account transactions, determining the impact of bank service fees, calculating water levels in an aquarium, and computing restaurant bills with tips. Each problem is broken down step-by-step to enhance understanding.

If a mattress is sold at a 50% discount for $1,200, what was its original retail price?

• $1,800

• $1,600

• $2,000

• $2,400

What was the wholesale price of the mattress if the retail price was $2,400 after a 150% markup?

• $1,600

• $1,800

• $2,000

• $1,500

What was the ending balance for the month of January in the checking account?

• $252.20

• $265.00

• $429.40

• $517.20

Calculate the mean balance over four months if the balances are $252.20, $88.00, $1.70, and -$836.90.

• -$123.75

• $123.75

• -$123.50

• $123.50

How many months will it take for a bank account with $85 to become negative if a $7.50 service fee is charged monthly?

• 11 months

• 12 months

• 13 months

• 10 months

If an aquarium initially has 225 liters and is filled at 15 liters per minute, how much water will it have after 5 minutes?

• 375 liters

• 150 liters

• 225 liters

• 300 liters

What should the sensor have read at -7 minutes if the filling rate is 15 liters per minute and the initial reading was 225 liters?

• 120 liters

• 105 liters

• 135 liters

• 150 liters

If a restaurant bill is $21 and a 15% tip is added, what is the total amount paid?

• $21.15

• $25.15

• $24.15

• $23.15

Which expression correctly represents the total amount paid including a 15% tip on a bill of b dollars?

• b + 0.5b

• b + 0.15b

• b + 1.5b

• b + 1.15b

If the bill is b dollars, which of the following represents the total amount including a 15% tip?

• b * 1.5

• b * 0.15

• b * 1.05

• b * 1.15