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yKpoI14uk [10]
4 years ago
15

16. Scott and his wife Maria have cell phone plans in which they pay for each call minute and text message

Mathematics
1 answer:
valina [46]4 years ago
7 0

Answer:

The cost for each call minute is $0.03 or equivalently 3 cents.

Step-by-step explanation:

We let the cost for each call minute be x and the cost for each text message be y. Scott's cost function in terms of x and y is;

95x + 207y = 23.55............. (1)

On the other hand, Maria's cost function in terms of x and y is;

162x + 124y = 17.26.............. (2)

Therefore, we have two equations in x and y which can be solved simultaneously.

In order to determine the cost for each call minute, we shall simply determine the value of x.

Using elimination method, we can eliminate y and determine x;

We multiply the first equation by 124,

11780x + 25668y = 2920.20..........(3)

We then multiply the second equation by 207,

33534x + 25668y = 3572.82........(4)

Subtracting equation 3 from 4 yields;

21754x = 652.62

x = 0.03

Thus the cost for each call minute is $0.03 or equivalently 3 cents.

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