Question

The value of a professional basketball player's autograph rose 30% in the last year. It is now worth $325.00. What was it worth a year ago?

Answer 1

The autograph was worth $250.00 a year ago.

Step-by-step explanation:

To find the original worth of the professional basketball player's autograph a year ago, we can use the concept of a percentage increase or decrease. Since the autograph rose in value by 30%, we can set up an equation: (original worth) + (0.30 x original worth) = $325.00. Let's solve for the original worth.

Let's represent the original worth as 'x'. The equation becomes:

x + (0.30 x x) = $325.00

Combine like terms:

x + 0.30x = $325.00

Combine the 'x' terms:

1.30x = $325.00

Divide both sides by 1.30 to solve for 'x':

x = $325.00 / 1.30

Using a calculator, we can determine that the original worth of the basketball player's autograph a year ago was $250.00.

Answer 2

$227.50. First, you convert 30% into a decimal: 0.30. Then, you multiply 325.00 by 0.30. This equals 97.50. 97.50 is 30% of 325, so you need to subtract 97.50 from 325.00. This equals $227.50.