Question

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?

Answer 1

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

Answer 2

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

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\\\\(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.