Question

How would you write a real-world problem that models the following equation: 0.08x = 0.06x + 140? (1 point)

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

O 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

Answer 1

The most appropriate real-world problem that models the equation \(0.08x = 0.06x + 140\) is:

**A certain sum yields $140 more in interest when the interest rate is 8% than when it is 6%.**

In this context, \(x\) would represent the principal amount (the certain sum), \(0.08x\) is the interest earned at 8%, and \(0.06x\) is the interest earned at 6%. The equation states that the difference between the two interest amounts is $140, which aligns with the modeling of the equation.