Madelyn has already cycled 4 kilometers this year, plus she plans to cycle 2 kilometers during each trip to work. Write an equation that shows the relationship between the number of trips to work x and the total distance cycled y.

y = 4km + 2km*x

Step-by-step explanation:

We know that Madelyn already cycled 4km this year, so we start at that point.

Now, each time that she goes to work, she cycles 2 km in total.

Now, if she does x trips to work, then she cycles 2km x times, this means that in total she would cycle 2km*x

if we also count the 4km she already has, we have the linear equation:

y = 4km + 2km*x

This is the equation we wanted to get.