A phone company offers two monthly plans. Plan A costs $18 plus an additional $0.10 for each minute of calls. Plan B costs $22 plus an additional $0.08 for each minute of calls.
For what amount of calling do the two plans cost the same?
What is the cost when the two plans cost the same?
The first plan has no monthly fee but charges 0.14 for each minute of calls. The second plan has a 28$ monthly fee and charges an additional 0.09 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
Ah, the age-old battle of the phone plans! Don't you just love math and decision-making? Let's figure this out, shall we?
To find the amount of calling when the two plans cost the same, we need to set up an equation. Let's say the number of minutes of calls is 'x'.
For Plan A, the cost is $18 plus $0.10 times 'x' minutes.
For Plan B, the cost is $22 plus $0.08 times 'x' minutes.
Now, let's equate the two costs:
18 + 0.10x = 22 + 0.08x
Subtracting 0.08x from both sides, we get:
0.02x = 4
Dividing both sides by 0.02, we find:
x = 200
So, when you make 200 minutes of calls, both plans cost the same.
Now, let's calculate the cost when the two plans cost the same:
For 200 minutes of calls:
For Plan A, the cost would be 18 + (0.10 * 200) = $38.
For Plan B, the cost would be 22 + (0.08 * 200) = $38 as well.
It looks like the cost would be $38 when the two plans cost the same. Just remember, math doesn't always have to be confusing. Sometimes it's just downright funny!
To find the amount of calling for which the two plans cost the same, we need to set up an equation and solve it.
Let's assume the number of minutes of calls is represented by "x".
For Plan A, the cost is $18 plus $0.10 for each minute of calls:
Cost of Plan A = $18 + $0.10x
For Plan B, the cost is $22 plus $0.08 for each minute of calls:
Cost of Plan B = $22 + $0.08x
To find the amount of calling where the two plans cost the same, we can set the equations equal to each other and solve for x:
$18 + $0.10x = $22 + $0.08x
Now, let's solve for x:
$0.10x - $0.08x = $22 - $18
$0.02x = $4
x = $4 / $0.02
x = 200
Therefore, the two plans cost the same for 200 minutes of calls.
To calculate the cost when the two plans cost the same, substitute the value of x (200) into either equation.
For Plan A:
Cost of Plan A = $18 + $0.10x
Cost of Plan A = $18 + $0.10(200)
Cost of Plan A = $18 + $20
Cost of Plan A = $38
For Plan B:
Cost of Plan B = $22 + $0.08x
Cost of Plan B = $22 + $0.08(200)
Cost of Plan B = $22 + $16
Cost of Plan B = $38
Hence, the cost when the two plans cost the same is $38.
A phone company offers two monthly plans. Plan A costs 18 plus an additional 0.08 for each minute of calls. Plan B has no initial fee but costs 0.12 for each minute of calls.
A
y = .10 x + 18
B
y = .08 x + 22
so
the same y when
.08 x + 22 = .10 x + 18
.02 x = 4
x = 4/.02 = 200 minutes
now go back and use either original equation to get y, the cost