Question

By your cell phone contract, you pay a monthly fee plus some money for each minute you use the phone during the month. In one month, you spent 280 minutes on the phone, and paid $34.20. In another month, you spent 330 minutes on the phone, and paid $37.45.

Answer 1

To find the monthly fee and the cost per minute for a cell phone contract, we can use a system of equations to solve for the variables. In this case, the monthly fee is $16 and the cost per minute is $0.065.

Step-by-step explanation:

In this question, we are given information about a cell phone contract where you pay a monthly fee plus an additional amount for each minute you use the phone. We are provided with two sets of data: the number of minutes used and the corresponding total cost. To find the monthly fee and the cost per minute, we can use a system of equations. Let's denote the monthly fee as x and the cost per minute as y.

1. First, we can set up two equations based on the given information: x + 280y = 34.20 and x + 330y = 37.45.
2. Next, we can solve this system of equations. We can subtract the first equation from the second equation to eliminate x: (x + 330y) - (x + 280y) = 37.45 - 34.20. Simplifying, we obtain 50y = 3.25.
3. Now, we can solve for y by dividing both sides of the equation by 50: y = 0.065.
4. Substituting the value of y back into one of the original equations, we can solve for x. Let's use the first equation: x + 280(0.065) = 34.20. Simplifying, we get x = 34.20 - 18.20 = 16.

Therefore, the monthly fee is $16 and the cost per minute is $0.065.

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