Question

You can buy a 6 hour phone card for $5, but the fine print says that each minute you talk actually costs you 1.5 minutes of time. What is th equation that models the number of minutes left on the card compared with the number of minutes you actually talked? What is the graph of this equation?

Answer 1

we are given

You can buy a 6 hour phone card for $5

so, total hours = 6 hours

now, we can change it into min

6 hours = 6*60 min

$6hrs=360min$

Let's assume

x is the number of actual minutes talked,

y is the called number of minutes left on the card

and we are given

each minute you talk actually costs you 1.5 minutes of time

so, we get equation as

$y=360-1.5x$

Graph: