[PLEASE ANSWER ALL PARTS!]
Angela and Benjamin each have a monthly cell phone bill. Angela's monthly cell phone bill is represented by the function y = 0.15x + 49, where x represents the minutes and y represents the cost. Benjamin's monthly cost is shown in the graph below.

Angela's initial value (y-intercept) is $____ and the rate of change is $____ per minute.
Benjamin's initial value (y-intercept) is $____ and the rate of change is $____ per minute.

What will be the monthly cost for Angela and Benjamin for 200 minutes?
Angela: $___
Benjamin: $___

For what number of minutes will Angela's and Benjamin's monthly bills be the same?
____ minutes

If you cant see the picture:
(0,60)
(120,72)
(200,80)

PLEASE ANSWER ALL PARTS Angela and Benjamin each have a monthly cell phone bill Angelas monthly cell phone bill is represented by the function y 015x 49 where x class=

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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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