The graph shows how the length of time a stroller is rented at an amusement park is related to the rental cost. what is the rate of change shown in the graph?

Each time the number of hours (on the x axis) goes up by 1, the cost (on the y axis) goes up by up by $2. So each hour costs $2.
You can pick two points on the graph, such as (1,2) and (2,4) to compute the slope using the slope formula below
m = (y2 - y1)/(x2 - x1)
m = (4-2)/(2-1)
m = 2/1
m = 2 we get a slope of 2
The slope is the rise/run
rise = change in cost = change in y
run = change in time = change in x