A. The rate of change for the two points are:
Angela: $0.1 per minute.
Ben: $0.15 per minute.
B. The initial values for the two points are;
Angela: $60.
Ben: $49.
C. The total cost of each plan are as follows;
Angela: $80 per minute.
Ben: $79 per minute.
The slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + c
Where:
- m represents the slope or rate of change.
- x and y are the points.
- c represents the y-intercept or initial value.
Part A.
The rate of change for the two points are as follows;
Rate of change =

Rate of change (Angela) = (72 - 60)/(120 - 0)
Rate of change (Angela) = $0.1 per minute.
Based on the equation y = 0.15x + 49 in slope-intercept form, we have;
Ben: $0.15 per minute.
Part B.
The initial values represents the y-intercept and they are as follows;
Angela: $60.
Ben: $49.
Part C.
When x is 200 minutes, the total cost of each plan are as follows;
Angela: y = 0.10x + 60
y = 0.10(200) + 60
y = $80 per minute.
Ben: y = 0.15x + 49
y = 0.15(200) + 49
y = $79 per minute.