Question

check your understanding1. vocabulary what does it mean to earn an 8% commission?2. number sense is 4% sales tax on a $250 item greater than, less than, or equal to 4% commission on a $250 sale?3. mental math calculate a 15% tip on a restaurant bill of $24.find the sales tax for each item. the tax rate is 6%.4. a cd priced at $12.995. a $450 tvfind each commission, given the sale.6. 5% on a $900 sale7. 2% on a $35.50 salehomework exercisesfor more exercises, see extra skills and word problems.find the total cost.8. $35.99 with a 5% sales tax9. $72.75 with a 6% sales tax10. the price of a coat is $114 before sales tax. the sales tax is 7%. find the total cost of the coat.estimate a 15% tip for each amount.11. $68.5012. $30.8013. $9.8914. $27.59find each commission, given the sale and the commission rate.15. $800, 12%16. $2,500, 8%17. $2,000, 7.5%18. $600, 4.5%19. suppose your boss owes you $800, plus a commission of 2.5% on a sale of $1,000. how much does your boss owe you?20. guided problem solving your lunch bill is $19.75. a 5% sales tax will be added, and you want to give a tip of about 20% of $19.75. estimate how much you will pay for lunch.• to what number should you round the bill?• about how much tip should you give?21. your neighbor pays $40 to have her lawn mowed and always adds a 15% tip. you and your friend decide to mow the lawn together and split the earnings evenly. how much will each of you make?22. writing in math explain how you can use estimation and mental math to calculate a 20% tip.

Explanation:

Step1: Solve Q1 (Vocabulary)

Earning 8% commission means you get 8% of the total value of sales you make, so for every $100 in sales, you earn $8.

Step2: Solve Q2 (Number Sense)

Sales tax: $250 \times 0.04 = \$10$; Commission: $250 \times 0.04 = \$10$. They are equal.

Step3: Solve Q3 (Mental Math)

Calculate 15% of $24$: $24 \times 0.15 = \$3.60$

Step4: Solve Q4 (Sales Tax)

Calculate 6% of $12.99$: $12.99 \times 0.06 = \$0.78$

Step5: Solve Q5 (Sales Tax)

Calculate 6% of $450$: $450 \times 0.06 = \$27$

Step6: Solve Q6 (Commission)

Calculate 5% of $900$: $900 \times 0.05 = \$45$

Step7: Solve Q7 (Commission)

Calculate 2% of $35.50$: $35.50 \times 0.02 = \$0.71$

Step8: Solve Q8 (Total Cost)

Tax amount: $35.99 \times 0.05 = 1.7995$; Total cost: $35.99 + 1.7995 = \$37.79$

Step9: Solve Q9 (Total Cost)

Tax amount: $72.75 \times 0.06 = 4.365$; Total cost: $72.75 + 4.365 = \$77.12$

Step10: Solve Q10 (Total Cost)

Tax amount: $114 \times 0.07 = 7.98$; Total cost: $114 + 7.98 = \$121.98$

Step11: Solve Q11 (Estimate Tip)

Round $68.50$ to $70$; $70 \times 0.15 = \$10.50$

Step12: Solve Q12 (Estimate Tip)

Round $30.80$ to $31$; $31 \times 0.15 = \$4.65$

Step13: Solve Q13 (Estimate Tip)

Round $9.89$ to $10$; $10 \times 0.15 = \$1.50$

Step14: Solve Q14 (Estimate Tip)

Round $27.59$ to $28$; $28 \times 0.15 = \$4.20$

Step15: Solve Q15 (Commission)

Calculate 12% of $800$: $800 \times 0.12 = \$96$

Step16: Solve Q16 (Commission)

Calculate 8% of $2500$: $2500 \times 0.08 = \$200$

Step17: Solve Q17 (Commission)

Calculate 7.5% of $2000$: $2000 \times 0.075 = \$150$

Step18: Solve Q18 (Commission)

Calculate 4.5% of $600$: $600 \times 0.045 = \$27$

Step19: Solve Q19 (Total Owed)

Commission: $1000 \times 0.025 = 25$; Total owed: $800 + 25 = \$825$

Step20: Solve Q20 (Lunch Cost Estimate)

1. Round $19.75$ to $\$20$
2. Tip: $20 \times 0.20 = \$4$
3. Tax: $20 \times 0.05 = \$1$; Total: $20 + 4 + 1 = \$25$

Step21: Solve Q21 (Split Earnings)

Tip amount: $40 \times 0.15 = 6$; Total earnings: $40 + 6 = 46$; Split: $\frac{46}{2} = \$23$

Step22: Solve Q22 (Writing in Math)

To estimate a 20% tip: first round the bill to a whole number. Then, find 10% of the rounded amount by moving the decimal point left one place, and double that number to get 20%. For example, if the bill is $24.80, round to $25; 10% of 25 is $2.50, so 20% is $5.

Answer:

1. It means earning 8% of total sales value.
2. Equal
3. $\$3.60$
4. $\$0.78$
5. $\$27$
6. $\$45$
7. $\$0.71$
8. $\$37.79$
9. $\$77.12$
10. $\$121.98$
11. $\$10.50$
12. $\$4.65$
13. $\$1.50$
14. $\$4.20$
15. $\$96$
16. $\$200$
17. $\$150$
18. $\$27$
19. $\$825$
20. Round to $\$20$; Tip is $\$4$; Total payment is $\$25$
21. $\$23$
22. Round the bill to a whole number, find 10% of that number, then double it to get 20%.