Question

Use proportional relationships to solve the following problem. Riley needs to earn enough money to purchase a new jacket. The one
he likes best is $49.99. His state sales tax is 7.25%. How much money does he need to earn? Round to the nearest dollar. (1 point)
$50
$82
$3.62
$54
A) Rafeal’s family dinner costs $56.25. His dad wants him to leave a 35% tip. How much money should Rafeal provide as a tip? Round
your answer to the nearest hundredth. (1 point)
$35.00
$19.69
$1.97
$75.94
Question 3
Question 4
A) A university football stadium has 81,500 seats. The stadium is at full capacity on game day. Layla believes only 79,000 seats are
occupied. Find the percent error of Layla’s prediction. Round your answer to the nearest hundredth of a percent. (1 point)
0.0307%
90.3067%
3.07%
−3.07%
A) Aatikah plans to buy books at a book fair. She thinks she will need $30.00 to purchase the books. She only spends $19.75. Find the
percent error in her prediction. Round your answer to the nearest whole number. (1 point)
52%
58%
2%
1%
Question 5
A) Julian and Brittany mailed 275 wedding invitations to family and friends and predicted that they would all attend. Only 265 out of 275
people committed to attending the wedding. Calculate the percent error in their prediction. Round your answer to the nearest hundredth
percent. (1 point)
−4.00%
0.038%
3.77%
3.63%

Answer 1

Here are the answers with brief work:

1) Jacket $49.99 with 7.25% tax: total = 49.99 × 1.0725 ≈ 53.61 → nearest dollar = $54.

Answer: $54

2) Tip 35% of $56.25: tip = 56.25 × 0.35 = 19.6875 → nearest hundredth = $19.69.

Answer: $19.69

3) Percent error for Layla: |81,500 − 79,000| / 81,500 ×100% = 2,500/81,500 ×100% ≈ 3.07%.

Answer: 3.07%

4) Percent error for Aatikah: |30.00 − 19.75| / 19.75 ×100% = 10.25/19.75 ×100% ≈ 51.90% → nearest whole number = 52%.

Answer: 52%

5) Percent error for invitations: |275 − 265| / 275 ×100% = 10/275 ×100% ≈ 3.636% → nearest hundredth ≈ 3.64% (closest choice: 3.63%).

Answer: 3.63%