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
$82
$82
$54
$54
$3.62
$3.62
$50
To find out how much money Riley needs to earn, we need to calculate the amount of sales tax and add it to the price of the jacket.
Sales tax is calculated as a percentage of the price of the item. So, to find the amount of sales tax, we can multiply the price of the jacket ($49.99) by 7.25% (0.0725).
Amount of sales tax = $49.99 * 0.0725 = $3.624275
Rounding this to the nearest dollar, the amount of sales tax is $3.62.
To find the total amount of money Riley needs to earn, we add the price of the jacket and the sales tax:
Total amount of money needed = $49.99 + $3.62 = $53.61
Rounding this to the nearest dollar, Riley needs to earn $54.
So, the correct answer is $54.
To solve this problem using proportional relationships, we first need to understand how sales tax works. Sales tax is an additional percentage added to the original price of an item. In this case, Riley needs to earn enough money to cover the cost of the jacket plus the sales tax.
Step 1: Calculate the sales tax amount
The sales tax is 7.25% of the cost of the jacket. To find this, multiply the cost of the jacket by the sales tax rate:
$49.99 * 0.0725 = $3.62
Step 2: Calculate the total cost
To find the total cost, add the cost of the jacket to the sales tax amount:
$49.99 + $3.62 = $53.61
However, the question asks for the total amount of money Riley needs to earn, so we need to round it to the nearest dollar:
$54
Therefore, the correct answer is $54. Riley needs to earn $54 to purchase the new jacket.
To solve this problem using proportional relationships, we need to find the total cost of the jacket, including the sales tax.
First, let's calculate the sales tax amount. We can do this by multiplying the price of the jacket ($49.99) by the sales tax rate (7.25% or 0.0725).
Sales tax amount = $49.99 x 0.0725 = $3.624875
Next, add the sales tax amount to the price of the jacket to find the total cost:
Total cost = $49.99 + $3.624875 = $53.614875
Finally, round the total cost to the nearest dollar:
Total cost rounded to the nearest dollar = $54
Therefore, Riley needs to earn $54 to purchase the jacket.
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
$35.00
$35.00
$19.69
$19.69
$75.94
$75.94
$1.97
$1.97