a. the cost of a call for six minutes is 0.70.
b.the cost of a 14-minute call is 2.62.
c.the cost of a 9 ½2-minute call is 1.66.
<h3>How to find the cost of each call ?</h3>
given that
rate schedule for an m-minute call from any of its pay phones 0.70.
c(m) = 0.70 when m<=6
c(m) = 0.70+ 0.24(m-6) when m>6 & m is an integer
c(m) = 0.70+0.24((m-6)+1) when m>6 & m is not an integer.
a. to find the cost of a call for six minutes.
already given that c(m) =0.70 when m=6.
Therefore, the cost of a call for six minutes is 0.70.
b. to find the cost of a 14-minute call.
according to given information
![c(14) = 0.70 + 0.24(m - 6) \\ c(14) = 0.70 + 0.24(14 \: - 6) \\c(14) = 0.70 + (0.24 \times 14) - (0.24 \times 6) \\c(14) = 0.70 + (3.36 - 1.44) \\ c(14) = 0.70 + 1.92 \\ c(14) = 2.62](https://tex.z-dn.net/?f=c%2814%29%20%3D%200.70%20%2B%200.24%28m%20-%206%29%20%5C%5C%20c%2814%29%20%3D%200.70%20%2B%200.24%2814%20%5C%3A%20-%206%29%20%20%5C%5Cc%2814%29%20%3D%200.70%20%2B%20%280.24%20%5Ctimes%2014%29%20-%20%280.24%20%5Ctimes%206%29%20%5C%5Cc%2814%29%20%3D%200.70%20%2B%20%283.36%20-%201.44%29%20%5C%5C%20c%2814%29%20%3D%200.70%20%2B%201.92%20%5C%5C%20c%2814%29%20%3D%202.62)
Therefore,the cost of a 14-minute call is 2.62.
c.to find the cost of a 9 ½2-minute call
according to given information
![c(9 \frac{1}{2} 2) = 0.70 + 0.24((9 \frac{1}{2} 2 - 6) + 1) \\ c(9 \frac{1}{2} 2) = 0.70 + 0.24((9 - 6) + 1) \\ c(9 \frac{1}{2} 2) = 0.70 + 0.24(3+ 1) \\ c(9 \frac{1}{2} 2) = 0.70 + 0.24(4) \\ c(9 \frac{1}{2} 2) = 0.70 + 0.96 \\ c(9 \frac{1}{2} 2) = 1.66](https://tex.z-dn.net/?f=c%289%20%20%5Cfrac%7B1%7D%7B2%7D%202%29%20%3D%200.70%20%2B%200.24%28%289%20%5Cfrac%7B1%7D%7B2%7D%202%20-%206%29%20%2B%201%29%20%5C%5C%20c%289%20%20%5Cfrac%7B1%7D%7B2%7D%202%29%20%3D%200.70%20%2B%200.24%28%289%20-%206%29%20%2B%201%29%20%5C%5C%20c%289%20%20%5Cfrac%7B1%7D%7B2%7D%202%29%20%3D%200.70%20%2B%200.24%283%2B%201%29%20%5C%5C%20c%289%20%20%5Cfrac%7B1%7D%7B2%7D%202%29%20%3D%200.70%20%2B%200.24%284%29%20%5C%5C%20c%289%20%20%5Cfrac%7B1%7D%7B2%7D%202%29%20%3D%200.70%20%2B%200.96%20%5C%5C%20c%289%20%20%5Cfrac%7B1%7D%7B2%7D%202%29%20%3D%201.66)
Therefore,the cost of a 9 ½2-minute call is 1.66.
Learn more about problems on cost of call, refer:
brainly.com/question/16584226
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