1. 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)
Responses
$54
$54
$3.62
$3.62
$82
$82
$50
2.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)
Responses
$1.97
$1.97
$19.69
$19.69
$75.94
$75.94
$35.00
1. The correct answer is $54.
To solve this problem, we can use the formula for finding the total amount after adding sales tax:
Total amount = Cost of item + (Cost of item * Sales tax rate)
Sales tax rate is given as 7.25%, which can be written as 0.0725 in decimal form.
Total amount = $49.99 + ($49.99 * 0.0725)
Total amount = $49.99 + $3.62
Total amount = $53.61
Since we are rounding to the nearest dollar, the answer is $54.
2. The correct answer is $19.69.
To find the tip amount, we can multiply the cost of the dinner by the tip percentage:
Tip amount = Cost of dinner * Tip percentage
Tip percentage is given as 35%, which can be written as 0.35 in decimal form.
Tip amount = $56.25 * 0.35
Tip amount = $19.6875
Rounding to the nearest hundredth, the answer is $19.69.
1. To solve this problem using proportional relationships, we need to find the total amount Riley needs to earn, including the sales tax.
First, we calculate the amount of sales tax on the jacket. The sales tax rate is 7.25%, so we can find the tax amount by multiplying the price of the jacket ($49.99) by 0.0725:
$49.99 * 0.0725 = $3.62
Next, we add the sales tax amount to the price of the jacket to find the total amount Riley needs to earn:
$49.99 + $3.62 = $53.61
Rounding this amount to the nearest dollar, the answer is $54. Therefore, Riley needs to earn $54.
2. To solve this problem using proportional relationships, we need to find the tip amount based on the cost of the dinner.
First, we calculate the tip amount by multiplying the cost of the dinner ($56.25) by the tip percentage (35%):
$56.25 * 0.35 = $19.69
Rounding this amount to the nearest hundredth, the answer is $19.69. Therefore, Rafeal needs to provide a tip of $19.69.
1. To find out how much money Riley needs to earn, we need to add the cost of the jacket to the sales tax amount.
- Step 1: Calculate the sales tax amount.
The sales tax is 7.25% of the jacket's cost, which is $49.99.
7.25% of $49.99 = ($49.99 * 7.25) / 100 = $3.624275 ≈ $3.62 (rounded to the nearest cent).
- Step 2: Add the cost of the jacket and the sales tax amount.
Cost of the jacket + Sales tax = $49.99 + $3.62 = $53.61 ≈ $54 (rounded to the nearest dollar).
Therefore, Riley needs to earn approximately $54 to purchase the jacket.
2. To find out how much money Rafeal should provide as a tip, we need to calculate 35% of the cost of the family dinner.
- Step 1: Calculate the tip amount.
The tip is 35% of $56.25.
35% of $56.25 = ($56.25 * 35) / 100 = $19.6875 ≈ $19.69 (rounded to the nearest cent).
Therefore, Rafeal should provide approximately $19.69 as a tip.