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Open Ended

What is the constant of proportionality? Interpret the constant of proportionality for this problem situation.

Open Ended

Why is understanding percent and proportions important in real-life situations, such as shopping or budgeting?

Multiple Choice

When the discounted price of the triple-play package is $132 after a 12% discount, what is the original price of the package before the discount?

• $150

• $132

• $120

• $145

Open Ended

Explain how to use proportions to solve for the unknown in a percent problem.

Open Ended

Is it a better deal to use the coupon for the $100 rebate or the 20% off one item when buying a laptop for $479.99? Explain your reasoning.

Multiple Choice

For a restaurant bill of $89.78, estimate the amount of a 15% tip and a 20% tip using benchmark percents.

• $13.47 for 15% tip, $17.96 for 20% tip

• $8.98 for 15% tip, $12.50 for 20% tip

• $12.00 for 15% tip, $15.00 for 20% tip

• $10.00 for 15% tip, $18.00 for 20% tip

Multiple Choice

Which equation can be used to determine the tip amount on a restaurant bill if the total bill is $45 and the recommended tip is 15%?

• 0.15 × 45 = t

• 0.45 × 15 = t

• 15 × 45 = t

• 0.15 ÷ 45 = t

Multiple Choice

Which of the following are correct ways to isolate the variable when calculating the tip amount using a percent equation?

• Divide both sides by the total bill

• Multiply both sides by the percent

• Subtract the percent from both sides

• Add the tip amount to both sides

Open Ended

Describe how the percent equation in the form percent · whole = part is equivalent to a proportion in the form percent = part/whole.

Open Ended

Do you agree with Hannah’s statement that ratios can be written in any way when setting up proportions? Explain your reasoning.

Open Ended

Write an equation to represent the direct proportional relationship between the amount of gratuity (g) received by a room service waitress and the food bill (b). Let k represent the constant of proportionality. What does the constant of proportionality represent in this equation?

Open Ended

When the food bill is $19, how much tip did the room service waitress receive?

Open Ended

Suppose a room service waitress at the resort receives gratuity represented by the equation g = 0.15b, where g represents the gratuity and b represents the food bill. What percent gratuity does the room service waitress receive? How do you know?

Open Ended

A gourmet restaurant has a policy of automatically adding an 18% tip to every restaurant bill. Write an equation to represent the relationship between the tip (t) and the restaurant bill (b).

Open Ended

Luis deposits $800 into a bank account which earns simple interest. Luis does not make any deposits or withdrawals. At the end of the year the account balance is $816. What is the interest rate?

Open Ended

A real estate agent earns 5% of the selling price of each house he sells. When he sells a home for $200,000, how much of a commission will he make?

Open Ended

Which table did Malik sit at if his meal was 10% of the total food bill, and his group tipped either 15% or 18%? What was the cost of his meal and what percent did his table tip?

Multiple Choice

Koda recently purchased a new home. His monthly income is $4000. Calculate the amount of money Koda will have each month for his most essential budget items: housing (30%), food (20%), and utilities (22%).

• $1200 for housing, $800 for food, $880 for utilities

• $1000 for housing, $900 for food, $880 for utilities

• $1200 for housing, $900 for food, $800 for utilities

• $1000 for housing, $800 for food, $880 for utilities

Multiple Choice

Maria receives a 4% commission on the merchandise she sells in a department store. How much commission would Maria receive when the merchandise she sold totaled $140?

• $5.60

• $4.00

• $7.00

• $6.40

Multiple Choice

What percent of the total sales does the restaurant donate to the soup kitchen? Use the table to support your answer.

• 4%

• 5%

• 6%

• 7%

Open Ended

Reflect on what you learned about solving percent problems using proportions. What questions do you still have or what would you like to know more about?