Respuesta :
Answer
Find out the For what number of text messages will the monthly bill for both plans to be the same .
To proof
Let us assume that the number of text messages per month be x.
As given
One cell phone plan costs $29.94 per month plus $.10 for each text message sent.
Another plan costs $32.99 per month plus $.05 for each text message sent.
than the equation becomes
29.94 + .10x = 32.99 + .05x
.10x - .05x = 32.99 - 29.94
0.05x = 3.05
[tex]x = \frac{3.05}{0.05}[/tex]
x = 61
Hence the number of text messages will be 61 for which the monthly bill for both plans to be the same.
Hence proved
We are given:
One cell phone plan
Fix monthly charge = $29.94 and
Per text message = $0.10
Therefore, equation for first cell phone:
y = 0.10 x + 29.94 -------------------equation(1)
Where y is the total cost of the first cell phone plan each month for x number of text messages.
Another plan costs plan
Fix monthly charge = $32.99 and
Per text message = $0.05
Therefore, equation for first cell phone:
y = 0.05 x + 32.99 -------------------equation(2).
In order to find the number of text messages will the monthly bill for both plans to be the same, we need to set both equation equal and solve for x.
Therefore,
0.10 x + 29.94 = 0.05 x + 32.99
Subtracting 29.94 from both sides, we get
0.10 x + 29.94 - 29.94 = 0.05 x + 32.99 - 29.94
0.10 x = 0.05x + 3.05
Subtracting 0.05x from both sides, we get
0.10 x - 0.05 x = 0.05x- 0.05x + 3.05
0.05x = 3.05.
Dividing both sides by 0.05, we get
x = 61.
