Use proportional relationships to sort of the following problem really needs to earn enough money to purchase a new jacket the one he likes best is $49.99 estate sales tax is 7.25% how much money does he need to earn round to the nearest dollar
To find out how much money he needs to earn, we can set up a proportional relationship between the price of the jacket and the total cost he needs to cover, including the sales tax.
Let's use the variable x to represent the total cost he needs to earn.
The cost of the jacket (before tax) can be represented as 100% of the price, which is $49.99.
The cost of the jacket plus sales tax would be (100% + 7.25%) of the price, which is $49.99.
To find the total cost, we can set up the following proportion:
$\frac{49.99}{100} = \frac{x}{100+7.25}$
Cross multiplying, we get:
$49.99 \times (100+7.25) = 100 \times x$
$49.99 \times 107.25 = 100 \times x$
$x = \frac{49.99 \times 107.25}{100}$
$x = 53.755$
Rounding to the nearest dollar, he needs to earn approximately $54 to cover the cost of the jacket including sales tax.