Use proportional relationships to solve the following problem. Riley needs to earn enough money to purchase a new jacket. The one he likes beat is $49.99. His state sales tax is 7.25%.
1. $54
2. $19.69
3. $57.11
4. 15.88%
5. 52
To find the total amount of money Riley needs to earn, we need to add the state sales tax to the price of the jacket.
First, we need to calculate the sales tax amount by multiplying the price of the jacket by the tax rate: $49.99 * 7.25% = $3.624775.
Now, we can add the sales tax to the price of the jacket: $49.99 + $3.624775 = $53.614775.
Therefore, Riley needs to earn a total of $53.614775 to purchase the new jacket.
The correct answer is: 3. $57.11
To use proportional relationships to solve this problem, we need to calculate the total amount Riley needs to earn, including the sales tax.
First, let's calculate the amount of sales tax on the jacket. We can do this by multiplying the price of the jacket by the sales tax rate:
Sales tax = Price of the jacket * Sales tax rate
Sales tax = $49.99 * 0.0725
To calculate the total amount needed to purchase the jacket, we need to add the sales tax to the price of the jacket:
Total cost = Price of the jacket + Sales tax
Total cost = $49.99 + (Sales tax amount calculated above)
By adding the amount of sales tax to the price of the jacket, we get the total cost that Riley needs to earn.
Now, to find the proportional relationship, we can express the relationship between the total cost and the price of the jacket as a ratio:
Total cost / Price of the jacket = Proportional relationship
By finding the equivalent ratios for different prices of jackets, we can use this proportional relationship to solve the problem. For example, if we have the price of another jacket, we can find the corresponding total cost by using the proportional relationship.
Remember, the sales tax rate and the price of the jacket will remain constant in this problem, making it a proportional relationship. The total cost will vary depending on the price of the jacket.
Using proportional relationships allows us to solve problems related to scaling up or down, or finding unknown values using equivalent ratios.