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. 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%. 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 correct 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%.**
This scenario accurately reflects the relationship described by the equation, where \( x \) represents the principal amount of money, and the left side of the equation represents the interest earned at 8%, while the right side accounts for the interest earned at 6% plus an additional $140.
**A certain sum yields $140 more in interest when the interest rate is 8% than when it is 6%.**
This scenario accurately reflects the relationship described by the equation, where \( x \) represents the principal amount of money, and the left side of the equation represents the interest earned at 8%, while the right side accounts for the interest earned at 6% plus an additional $140.