Final answer:
To reach a total of 92 kilometers, Evelyn needs to make 21 more trips to work, as she already cycled 8 kilometers and plans to cycle 4 kilometers per trip.
Step-by-step explanation:
The student asked how many trips Evelyn needs to make to cycle a total of 92 kilometers if she has already cycled 8 kilometers this year and plans to cycle 4 kilometers during each trip to work.
To solve this, we first need to find out how many more kilometers Evelyn needs to cycle to reach 92 kilometers, considering she has already cycled 8 kilometers. So, we subtract the distance already covered from the total distance she aims to cover:
92 km - 8 km = 84 km
Now we know that Evelyn still needs to cover 84 kilometers. Since Evelyn cycles 4 kilometers each trip, we divide the remaining distance by the distance per trip to find the number of trips:
84 km ÷ 4 km/trip = 21 trips
Therefore, Evelyn needs to make 21 more trips to work to reach her goal of cycling a total of 92 kilometers this year.