It would take 220 minutes for Angela's and Benjamin's monthly bills be the same
Linear equation
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the cost after x minutes, hence:
For angela:
y = 0.15x + 49
The y intercept is $49 and the rate of change is $0.15 per minute
For Benjamin:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-60=\frac{80-60}{200-0} (x-0)\\\\y=0.1x+60[/tex]
The y intercept is $60 and the rate of change is $0.10 per minute
For 200 minutes:
Angela: y = 0.15(200) + 49 = $79
Benjamin: y = 0.10(200) + 60 = $80
To be the same:
0.15x + 49 = 0.1x + 60
x = 220 minutes
It would take 220 minutes for Angela's and Benjamin's monthly bills be the same
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