Answer:
B. y = 85x
Step-by-step explanation:
First, find the rate of change of the graph:
Rate of change = change in y/change in x
Using two points (0, 0) and (4, 300),
Rate of change (m) = (300 - 0)/(4 - 0) = 300/4
Rate of change (m) = 75
Compare this with the rate of change of the given equations in the options.
✔️Option A: y = 65x + 100
The rate of change of this equation is 65, which is less than the rate of change of the given graph (75)
✔️Option B: y = 85x
The rate of change of this equation is 85, which is greater than the rate of change of the given graph (75)
✔️Option B: y = 50x + 150
The rate of change of this equation is 50, which is less than the rate of change of the given graph (75)
✅Therefore, the equation that has a greater rate of change than the one shown in the graph is y = 85x
