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
To solve the problem using proportional relationships, we can set up the following equation:
49.99 = 100% + 7.25%
To find the total cost including sales tax, we need to add the sales tax percentage to the original price:
Total cost = 49.99 + (49.99 * 7.25%) = 49.99 + (49.99 * 0.0725)
Calculating the expression in the parentheses:
49.99 * 0.0725 = 3.624775
Round to the nearest cent:
3.624775 ≈ 3.62
Adding the rounded tax amount to the original price:
49.99 + 3.62 = 53.61
Therefore, Riley needs to earn approximately $53.61 to purchase the new jacket.
To find out how much money Riley needs to earn, we need to calculate the cost of the jacket plus the sales tax.
First, we calculate the sales tax:
Sales tax = 7.25% of $49.99
Sales tax = 0.0725 * $49.99
Next, we add the sales tax to the cost of the jacket:
Total cost = $49.99 + sales tax
Using proportions, we can write the equation:
Total cost / $49.99 = 100% + 7.25%
Simplifying the equation:
Total cost / $49.99 = 107.25%
To solve for the total cost, we can cross multiply:
Total cost * $49.99 = 107.25% * $49.99
Simplifying the equation:
Total cost = (107.25% * $49.99) / $49.99
Total cost = $53.685
Rounding to the nearest dollar:
Total cost = $54
Therefore, Riley needs to earn $54 to purchase the jacket.
To solve this problem using proportional relationships, we need to determine the total cost of the jacket, including the sales tax.
First, we need to calculate the amount of sales tax. The sales tax rate is 7.25%, which means Riley needs to pay 7.25% of the original price of the jacket as tax.
To find the sales tax, multiply the original price of the jacket ($49.99) by the sales tax rate (7.25% or 0.0725):
Sales tax = $49.99 * 0.0725 = $3.62 (rounded to the nearest cent)
Next, add the sales tax to the original price of the jacket to find the total cost:
Total cost = $49.99 + $3.62 = $53.61 (rounded to the nearest cent)
However, in the question, we are asked to round the answer to the nearest dollar. Therefore, rounding the total cost to the nearest dollar, we get:
Total cost = $54
Hence, Riley needs to earn $54 to purchase the jacket.