Question

each bill at a restaurant includes an 18% tip. which of the following bill amounts and tips could be from this restaurant? select yes or no.

	yes	no
bill: $24.78, bill with tip: $29.24	⚪	⚪
bill: $32.01, bill with tip: $38.93	⚪	⚪
bill: $59.44, bill with tip: $70.14	⚪	⚪
bill: $17.35, bill with tip: $20.47	⚪	⚪

Explanation:

Step1: Calculate total for first bill

To find the total bill with an 18% tip, we use the formula: \( \text{Total} = \text{Bill} \times (1 + 0.18) \). For the first bill (\$24.78): \( 24.78 \times 1.18 = 24.78 + 24.78\times0.18 = 24.78 + 4.4604 = 29.2404 \approx 29.24 \). So this is valid.

Step2: Calculate total for second bill

For the second bill (\$32.01): LXI0, which is not \$38.93. So this is invalid.

Step3: Calculate total for third bill

For the third bill (\$59.44): \( 59.44 \times 1.18 = 59.44 + 59.44\times0.18 = 59.44 + 10.6992 = 70.1392 \approx 70.14 \). So this is valid.

Step4: Calculate total for fourth bill

For the fourth bill (\$17.35): \( 17.35 \times 1.18 = 17.35 + 17.35\times0.18 = 17.35 + 3.123 = 20.473 \approx 20.47 \). So this is valid.

Answer:

• bill: \$24.78, bill with tip: \$29.24: Yes
• bill: \$32.01, bill with tip: \$38.93: No
• bill: \$59.44, bill with tip: \$70.14: Yes
• bill: \$17.35, bill with tip: \$20.47: Yes