Here the line passes through (0,0) and (1,3).
First we need to find the slope , and for that we need to use the following formula
On substituting the values from the point, we will get
Now we will use slope intercept form, which is
Where m is the slope and b is the y intercept
And on substituting the values of x and y from the point (1,3) and slope, m = 3, we will get
b =0
Substituting the values of m and b in the slope intercept form, we will get
Answer:
The Spotted Cows delivery service has a greater rate of change.
Explanation
The Spotted Cows function is: y = 2.8x + 2
Dairy Farms function is: y = 2.1x + 10
I have graphed these two functions to determine which has a greater rate of change. The red line represents the Spotted Cow service while the blue represents the Dairy Farms service. On the graph you can see that the red line intersects and shifts above the blue line, meaning the rate increases at a higher rate than the blue.
Hope this helps!
