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ap319773
10.02.2021 •
Mathematics
I will give thanks to the correct answer pls help
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Ответ:
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.
Therefore, 61 text messages will the monthly bill for both plans to be the same.