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Eduardwww [97]
3 years ago
10

How do I write an equation for #17?

Mathematics
2 answers:
Svetllana [295]3 years ago
8 0
16.95x + .05y = 22.95x + .02y
Tanya [424]3 years ago
5 0

let's say we have two phone companies, A and B, A charges $16.95 monthly and $0.05 a minute, B $22.95 monthly and $0.2 a minute.

company A

1 minute...................... $16.95 + 0.05(1)

2 minutes.................... $16.95 + 0.05(2)

3 minutes.................... $16.95 + 0.05(3)

x minutes.................... $16.95 + 0.05(x)


company B

1 minute...................... $22.95 + 0.02(1)

2 minutes.................... $22.95 + 0.02(2)

3 minutes.................... $22.95 + 0.02(3)

x minutes.................... $22.95 + 0.02(x)


when will the cost of each plan be the same?  well, that happens when 16.95 +0.05x = 22.95 + 0.02x.


\bf \stackrel{A}{16.95+0.05x}=\stackrel{B}{22.95+0.02x}\implies 0.05x-0.02x=22.95-16.95
\\\\\\
0.03x=6\implies x=\cfrac{6}{0.03}\implies x=200

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