SOLUTION: Max Points: 5.0 Select one of the options below and create a linear equation to represent the monthly bill. When will the plans cost the same? Explain when each plan is a bett

Question 1092487: Max Points: 5.0
Select one of the options below and create a linear equation to represent the monthly bill. When will the plans cost the same? Explain when each plan is a better option.
Option 1: Plan A $39.99 for 200 min and $1.25 for each min after. Plan B $29.99 for 200 min and $1.50 for each min after.
Option 2: Plan A $25.75 plus $.75 per min. Plan B $20.99 plus $1.00 per min
Option 3: Plan A $39.99 plus $1.25 per min. Plan B $25.99 plus $1.75 per min
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Look at the options for 500 minutes
Option 1
A: 39.99+1.25(300)=39.99+375=$414.99
B:29.99+1.50(300)=29.99+450=$479.99; plan B is cheaper if one doesn't talk as much.
Using 40 and 30 for the base cost, 40+1.25x=30+1.5x
10=0.25x, x=40 minutes, where the two are equal. So if fewer than 40 minutes, B is better.
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Option 2
A: 25.75 +$375=$400.25
B:20.99+500=$520.29.
25.75+.75x=20.99+x
4.76=0.25x
x=19.04 minutes, so if 19 or fewer minutes, use B.
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Option 3
A: 39.99+1.25x is the equation (like the others above, where x=minutes) at 500 minutes, it is 39.99+625=$664.99.
B: 25.99+1.75x, and at 500 minutes it is $900.99.
set the two equal
39.99+1.25x=25.99+1.75x
14=0.5x
x=28 minutes. For times fewer than 28 minutes, B is better.
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