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

Question

0.08
𝑥
=
0.06
𝑥
+
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.

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.

Answer 1

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%.

This statement accurately describes the situation where the left side (0.08x) represents the interest earned at an 8% rate on a principal amount (x), and the right side (0.06x + 140) represents the interest earned at a 6% rate on the same principal amount plus an additional $140. Thus, this option effectively captures the essence of the mathematical equation provided.