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

Question

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.

In a sports league, 6% of the players times 8% of the players in the same league equals 140.
In a sports league, 6% of the players times 8% of the players in the same league equals 140.

On one specific item, 6% sales tax plus 8% sales tax on the same item adds to $140.

Answer 1

The best option to model 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%.

This response accurately reflects the relationship represented by the equation, where \( x \) is the principal amount, \( 0.08x \) is the interest earned at an 8% rate, and \( 0.06x + 140 \) accounts for the interest earned at a 6% rate plus an additional $140.