Question
How would you write a real-world problem that models the following equation: 0.08x=0.06x+140 ?(1 point)
Responses
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.
In a sports league, 6% of the players times 8% of the players in the same league equals 140.
A certain sum yields $140 more in interest when the interest rate is 8% than when it is 6%.
Responses
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.
In a sports league, 6% of the players times 8% of the players in the same league equals 140.
A certain sum yields $140 more in interest when the interest rate is 8% than when it is 6%.
Answers
GPT-4o mini
The best option for modeling 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 statement accurately reflects the relationship represented by the equation, where the left side (0.08x) represents the interest earned at an 8% rate, and the right side (0.06x + 140) represents the interest earned at a 6% rate plus an additional $140.
**A certain sum yields $140 more in interest when the interest rate is 8% than when it is 6%.**
This statement accurately reflects the relationship represented by the equation, where the left side (0.08x) represents the interest earned at an 8% rate, and the right side (0.06x + 140) represents the interest earned at a 6% rate plus an additional $140.