Final answer:
The correct expression to represent the change in Adam's position after spinning a spinner multiple times and moving backward and forward is 5(-4) + 3. It indicates that he moved back a total of 20 spaces (5 times 4) and then moved forward 3 spaces, for a net backward movement of 17 spaces.
Step-by-step explanation:
The question asks about the expression representing the change in Adam's position after spinning a spinner multiple times. When considering the spin's direction and its numeric value, positive numbers are generally associated with moving forward, and negative numbers with moving backward. If Adam spun the spinner and moved backward 5 times by 4 spaces each, and then moved forward 3 spaces, the expression representing the change in his position would be 5(-4) + 3. This means he moved back a total of 5 times 4 spaces (5 times negative 4), and then moved forward 3 spaces. Here's how to calculate:
- Multiplying negative 4 by 5: 5 * -4 = -20
- Adding 3 to the result: -20 + 3 = -17
The resulting position change is -17 spaces, indicating that overall Adam has moved back 17 spaces.