Question
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.
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.
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.
Answers
GPT-4o mini
The best response that accurately models the given 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 clearly explains that the difference in interest earned at two different rates (8% and 6%) equals $140, which corresponds directly to the equation provided.
**A certain sum yields $140 more in interest when the interest rate is 8% than when it is 6%.**
This response clearly explains that the difference in interest earned at two different rates (8% and 6%) equals $140, which corresponds directly to the equation provided.