Question

checkpoint 5.2 sales tax and payment options circle or box your final answer

1. darius purchased a new suit for $295.95. the sales tax rate on clothing is 6.25%. what is the final purchase price of the suit, including sales tax?
2. fatima purchased new plants for her yard. she used a coupon for 20% off her entire purchase, which was $195.50 before sales tax. what is the pretax purchase price of the plants, after the coupon discount is deducted?
3. keenan purchased a bag of dog food for $48.23. he received a mail - in rebate for $7.50. what will be the final cost of the bag of dog food if keenan uses the mail - in rebate?
4. natsumi went on a business lunch. the pretax bill was $55.60. she decided to leave a 15% tip. the sales tax rate is 8.25%. what was the final amount of the bill?
5. makalo took his grandmother to dinner. the pretax bill was $54.50. he decided to leave a 20% tip. the sales tax rate is 7.75%. what was the final amount of the bill?

Explanation:

Step1: Calculate the sales tax for Darius's suit

The sales tax rate is \(6.25\%=0.0625\). The price of the suit is \(P = 295.95\). The sales tax \(T=295.95\times0.0625=\frac{295.95\times625}{10000}=18.496875\approx18.50\)

Step2: Calculate the final price

The final price \(F = 295.95+18.50=314.45\)

Step3: Calculate the pretax price after coupon for Fatima

The coupon is \(20\%\) off. The original pretax price is \(O = 195.50\). The price after coupon \(C=195.50\times(1 - 0.20)=195.50\times0.80 = 156.40\)

Step4: Calculate the final cost for Keenan

The original cost of dog - food is \(D = 48.23\). The rebate is \(R = 7.50\). The final cost \(K=48.23-7.50 = 40.73\)

Step5: Calculate the tip and tax for Natsumi

The pretax bill is \(B = 55.60\).

• Tip amount: \(t=55.60\times0.15 = 8.34\)
• Sales tax amount: \(s=55.60\times0.0825=\frac{55.60\times825}{10000}=4.587\approx4.59\)
• Final amount \(N=55.60 + 8.34+4.59=68.53\)

Step6: Calculate the tip and tax for Makalo

The pretax bill is \(M_b=54.50\)

• Tip amount: \(t_m=54.50\times0.20 = 10.90\)
• Sales tax amount: \(s_m=54.50\times0.0775=\frac{54.50\times775}{10000}=4.22375\approx4.22\)
• Final amount \(M=54.50+10.90 + 4.22=69.62\)

Answer:

1. \(\$314.45\)
2. \(\$156.40\)
3. \(\$40.73\)
4. \(\$68.53\)
5. \(\$69.62\)