Question

1.8 tips and taxes practice
name:
answer each question. write the proportions and show your work.

1. a meal at a restaurant costs $40. the predetermined tip is 15%.

what is the tip amount? ____ what is the total cost, including tip? ____

1. a new backpack costs $50, and the sales tax rate is 8%.

how much is the sales tax? __________ what is the total cost, including tax? __________

1. you buy a meal for $25. the sales tax is 6%, and you leave a 10% tip on the meal’s cost (tip is figured on $25, the amount before tax).

what is the tax? ____ what is the tip? ____
what is the total amount you pay, including tax and tip? ____________

Explanation:

Problem 2:

Step1: Calculate sales tax

To find the sales tax, we use the formula: \( \text{Sales Tax} = \text{Cost of Item} \times \text{Tax Rate} \). The cost of the backpack is $50 and the tax rate is 9% (or 0.09 in decimal form). So, \( 50 \times 0.09 = 4.5 \).

Step2: Calculate total cost

The total cost including tax is the cost of the item plus the sales tax. So, \( 50 + 4.5 = 54.5 \).

Step1: Calculate tax

Using the formula \( \text{Tax} = \text{Meal Cost} \times \text{Tax Rate} \). The meal cost is $25 and the tax rate is 6% (0.06 in decimal). So, \( 25 \times 0.06 = 1.5 \).

Step2: Calculate tip

Using the formula \( \text{Tip} = \text{Meal Cost} \times \text{Tip Rate} \). The meal cost is $25 and the tip rate is 10% (0.10 in decimal). So, \( 25 \times 0.10 = 2.5 \).

Step3: Calculate total amount

The total amount is the meal cost plus tax plus tip. So, \( 25 + 1.5 + 2.5 = 29 \).

Answer:

Sales tax: $4.5
Total cost: $54.5

Problem 3: