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.
Mr. bot messed up again
49.99*1.0725 = 53/61 or $54 to the nearest dollar
To solve this problem using proportional relationships, we can calculate the amount of money Riley needs to earn by considering the price of the jacket and the state sales tax as proportions.
First, let's calculate the amount of money Riley needs to earn for the jacket alone. The jacket's price is $49.99.
Next, let's calculate the amount of sales tax on the jacket. The state sales tax is 7.25%.
To find the sales tax amount, we can use the proportion:
(Sales tax amount) / (Price of the jacket) = (Sales tax rate) / 100
Let's assign variables to the known values:
Let x be the sales tax amount.
Let 49.99 be the price of the jacket.
Let 7.25 be the sales tax rate.
Using the proportion, we have:
x / 49.99 = 7.25 / 100
Cross-multiplying, we get:
x = (49.99 * 7.25) / 100
Calculating that, we find:
x ≈ 3.624 = $3.62 (rounded to the nearest cent)
Now, let's calculate the total amount of money Riley needs to earn. We add the price of the jacket to the sales tax amount:
Total amount = Jacket price + Sales tax amount
Total amount = $49.99 + $3.62
Total amount ≈ $53.61 (rounded to the nearest cent)
Therefore, Riley needs to earn approximately $53.61 (rounded to the nearest cent) to purchase the new jacket.
To determine the total amount of money Riley needs to earn, you can use proportional relationships.
First, you need to calculate the sales tax amount on the jacket.
Sales tax is 7.25% of the jacket price.
So, 7.25% of $49.99 can be found by multiplying 7.25/100 by $49.99:
(7.25/100) x $49.99 = $3.62 (rounded to two decimal places)
Next, add the sales tax amount to the price of the jacket:
$49.99 + $3.62 = $53.61
Therefore, Riley needs to earn approximately $53.61 (rounded to the nearest dollar) to purchase the new jacket.