Verizon has two different cell phone plans. The cost, Y, of plan A is $11 a month Plus $.21 per minute. The cost, Y, of Plan B is $20 a month plus $.10 per minute. After how much time to the nearest minute will the cost of plan a B equal to the cost of Plan B?
Can you help me with this
I figured X equals minutes
Why equals total cost
I would set up my equation as
11+ 21X equals Y
20+.1 0X equals Y
I am not sure where to go from this point, please help !!!! Thank you
11 + .21m = 20 + .10m
Solve for m.
I set up the equation like you said
11+.21m =20+.10m
-.10m. -.10m
11+ .11m =20
-11. -11
.11m/.11=. 9/.11
This doesn't seem correct
Of course, I'd be happy to help you with this problem!
To determine the number of minutes at which the cost of Plan A equals the cost of Plan B, we need to set up an equation and solve for X (the number of minutes).
Let's start by setting up the equation for Plan A:
Y = 11 + 0.21X
Here, Y represents the total cost of Plan A, and X represents the number of minutes.
Next, let's set up the equation for Plan B:
Y = 20 + 0.10X
Now, we can set these two equations equal to each other since we want to find the point where the costs are equal:
11 + 0.21X = 20 + 0.10X
To solve for X, we need to isolate the variable X on one side of the equation. Let's subtract 0.10X from both sides:
0.11X = 9
Finally, divide both sides of the equation by 0.11 to solve for X:
X = 9 / 0.11
Using a calculator to evaluate this division, we find:
X ≈ 81.818181...
Now, since we're dealing with minutes, we'll round this value to the nearest minute:
X ≈ 82
Therefore, the cost of Plan A and Plan B will be equal after approximately 82 minutes.
I hope that helps! Let me know if you have any further questions.