Final answer:
Joy will have to make 26 trips to cycle a total of 28 kilometers.
Step-by-step explanation:
To find the number of trips Joy will have to make to cycle a total of 28 kilometers, we need to subtract the distance she has already cycled (2 kilometers) from the total distance she wants to cycle (28 kilometers); 28 - 2 = 26. Since Joy plans to cycle 1 kilometer during each trip to work, we can divide the total remaining distance by 1 to find the number of trips she needs to make; 26 ÷ 1 = 26.
Therefore, Joy will have to make 26 trips to cycle a total of 28 kilometers.