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Harriet is comparing the costs of calling cards. To use card A, the cost is $1.00 to connect and then $0.04 per minute. To use card B, it costs $0.65 to connect and then $0.06 per minute. For what number of minutes does it cost the same amount to use each card for a single call?

Verified Answer :

1 + .04m = .65 + .06m
1 - .65 = .06m - .04m
.35 = .02x
.35/.02 = x
17.5 = x

Answer: There are 17.5 minutes for which it costs the same amount to use each card for a single call.

Step-by-step explanation:

Let the number of minutes be x

To use card A, the cost is $1.00 to connect and then $0.04 per minute.

So, our expression becomes,

\(1+0.04x\)

To use card B, the cost is $0.65 to connect and then $0.06 per minute.

So, our expression becomes,

\(0.65+0.06x\)

According to question, if it cost the same amount to use each card for a single call, then it will be

\(1+0.04x=0.65+0.06x\\\\1-0.65=0.06x-0.04x\\\\0.35=0.02x\\\\\frac{0.35}{0.02}=x\\\\17.5=x\)

Hence, there are 17.5 minutes for which it costs the same amount to use each card for a single call.