Question
How would you write a real-world problem that models the following equation: 0.08x=0.06x+140
?(1 point)
Responses
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.
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.
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%.
?(1 point)
Responses
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.
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.
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%.
Answers
GPT-4o mini
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 scenario, \(x\) represents the principal amount (the certain sum), \(0.08x\) is the interest earned at an 8% rate, and \(0.06x\) is the interest earned at a 6% rate. The equation states that the difference in interest earned between the two rates is $140.
**A certain sum yields $140 more in interest when the interest rate is 8% than when it is 6%.**
In this scenario, \(x\) represents the principal amount (the certain sum), \(0.08x\) is the interest earned at an 8% rate, and \(0.06x\) is the interest earned at a 6% rate. The equation states that the difference in interest earned between the two rates is $140.