1. 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

$54
$54
$3.62
$3.62
$82
$82
$50

2.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

$1.97
$1.97
$19.69
$19.69
$75.94
$75.94
$35.00

1 answer

1. The correct answer is $54.

To solve this problem, we can use the formula for finding the total amount after adding sales tax:

Total amount = Cost of item + (Cost of item * Sales tax rate)

Sales tax rate is given as 7.25%, which can be written as 0.0725 in decimal form.

Total amount = $49.99 + ($49.99 * 0.0725)
Total amount = $49.99 + $3.62
Total amount = $53.61

Since we are rounding to the nearest dollar, the answer is $54.

2. The correct answer is $19.69.

To find the tip amount, we can multiply the cost of the dinner by the tip percentage:

Tip amount = Cost of dinner * Tip percentage

Tip percentage is given as 35%, which can be written as 0.35 in decimal form.

Tip amount = $56.25 * 0.35
Tip amount = $19.6875

Rounding to the nearest hundredth, the answer is $19.69.