An overseas telephone company charges $4 for the first minute of talking and then $0.25 for each additional minute. If a woman spent $13.75 talking on the phone, how many minutes did she talk for?

Respuesta :

Answer:

39 minutes

Step-by-step explanation:

In this problem we can see that there is a constant/flat rate charge of $4 on every first minute

we can model the cost for calls as

[tex]y= 4+0.25x------1[/tex]

where x is the number of extra minutes spent

given that y = $13.75

We can simply substitute our given values into the equation 1 above and solve for x

[tex]13.75= 4+0.25x\\\\13.75-4= 0.25x\\\\9.75=0.25x[/tex]

Divide both sides by 0.25 to find x

[tex]x= 9.75/0.25\\\\x=39[/tex]

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