Final answer:
To find Jake's initial money, we need to solve the equation that represents the given situation. The correct equation is 2D = 83, which means Jake's initial money (D) is multiplied by 2.
Step-by-step explanation:
In this question, we are given that Jake's initial money in his wallet (D) plus the money taken from the bank is equal to $83. We need to find the equation that represents this situation. Let's break down the options given:
- a) D + D = 83
- b) D - D = 83
- c) D * D = 83
- d) 2D = 83
We can eliminate options b) and c) as subtraction and multiplication do not accurately represent the scenario. Now, let's consider options a) and d).
Option a) states that D + D = 83. This equation means that Jake's initial money (D) is doubled, which is not the case in the given information. Therefore, we can eliminate option a).
Option d) states that 2D = 83. This equation means that Jake's initial money (D) is multiplied by 2, which accurately represents the situation. If we solve this equation, we get D = 83/2, which simplifies to D = 41.5. Therefore, the correct option is d) 2D = 83, and Jake's initial money is $41.5.