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,
[tex]1+0.04x[/tex]
To use card B, the cost is $0.65 to connect and then $0.06 per minute.
So, our expression becomes,
[tex]0.65+0.06x[/tex]
According to question, if it cost the same amount to use each card for a single call, then it will be
[tex]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[/tex]
Hence, there are 17.5 minutes for which it costs the same amount to use each card for a single call.
