Question

3 Eva went out to lunch with some friends. The bill, before tax and tip, was $12.45. A sales tax of 4.5% was added to the bill. Eva then tipped the waitress 15% of the amount of her bill after the sales tax was added. What is the final percent change between the original amount of her bill and the amount Eva paid with tax and tip? Round to the nearest tenth of a percent.​

Answer 1

The final percent change between the original bill amount and the total amount paid by Eva, including tax and tip, is 20.2% after rounding to the nearest tenth of a percent.

Step-by-step explanation:

Calculating Final Percent Change

To determine the final percent change between the original amount of Eva's bill and the amount paid with tax and tip, we will perform several calculations step by step.

• First, calculate the sales tax: $12.45 × 0.045 = $0.56.
• Add the sales tax to the original bill: $12.45 + $0.56 = $13.01.
• Calculate the tip amount: $13.01 × 0.15 = $1.95.
• Add the tip to the bill with tax: $13.01 + $1.95 = $14.96.
• Finally, calculate the percent change. The increase is $14.96 - $12.45 = $2.51. To find the percent increase: ($2.51 / $12.45) × 100 = 20.16%.

After rounding to the nearest tenth of a percent, the final percent change is 20.2%.