How would you write a real-world problem that models the following equation: 0.08x=0.06x+140?(1 point) Responses A certain sum yields $140 more in interest when the interest rate is 8% than when it is 6%. A certain sum yields $140 more in interest when the interest rate is 8% than when it is 6%. For a certain sum, 8% equals $140.06. For a certain sum, 8% equals $140.06. On one specific item, 6% sales tax plus 8% sales tax on the same item adds to $140. On one specific item, 6% sales tax plus 8% sales tax on the same item adds to $140. In a sports league, 6% of the players times 8% of the players in the same league equals 140.

Answer 1

The first response accurately represents the real-world problem modeled by the equation \(0.08x = 0.06x + 140\).

Here's how the problem can be articulated:

Problem Statement: A certain sum of money, denoted as \(x\), generates interest at two different rates: 8% and 6%. If the interest earned at 8% is $140 more than the interest earned at 6%, what is the sum of money invested?

This translates into the equation you provided, demonstrating that at an 8% interest rate, the interest earned (0.08x) exceeds the interest earned at a 6% rate (0.06x) by $140, forming the equation \(0.08x = 0.06x + 140\).

The other responses do not accurately align with the original equation and context provided.