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
$50
$50
$82
$82
$54
$54
$3.62
To find out how much money Riley needs to earn, we can use a proportional relationship.
The sales tax is 7.25%, so Riley needs to earn an additional 7.25% of the cost of the jacket.
To calculate the amount, we can multiply the cost of the jacket ($49.99) by 7.25% (0.0725):
$49.99 * 0.0725 = $3.62
Riley needs to earn $3.62 in addition to the cost of the jacket.
Rounding to the nearest dollar, Riley needs to earn $4.
To solve this problem using proportional relationships, we need to find the amount of money Riley needs to earn by taking into account the sales tax.
First, let's find the sales tax on the jacket. We can do this by multiplying the jacket price ($49.99) by the sales tax rate (7.25% or 0.0725).
Sales tax = $49.99 * 0.0725 = $3.624875
However, we need to round the sales tax to the nearest cent. Since the next digit after the thousandth place is less than 5, we round down. Therefore, the sales tax is $3.62.
Now, to find the total amount of money Riley needs to earn, we simply add the jacket price and the sales tax.
Total amount = $49.99 + $3.62 = $53.61
Finally, we need to round the total amount to the nearest dollar. Since the next digit after the tenth place (6) is 1, we round up. Therefore, Riley needs to earn $54 to purchase the jacket. So the answer is $54.