One long-distance company offers a plan such that each minute costs $0.10 and each call has a $0.25 service charge. Write an inequality to find the number of minutes (t) you can talk for no more than $3.00.

y=0.10(t)+0.25

27 minutes and 30 seconds

Step-by-step explanation:

We know that you start with 25 cents as a service fee, this is for making the call. For each minute you talk, 10 cents are added. Multiply the number of minutes spent by 10 cents a minute for the cost based on the call. Then add the 25 cents service fee.

If you talked for 5 minutes:

y=0.10(5)+0.25

y=0.50+0.25

y=0.75

75 Cents

For three dollars, you would plug in 3 for y

3.00=0.10(t)+0.25

-0.25            -0.25

2.75=0.10(t)

divide both sides by 0.10 to get

27.5=t

You can talk for 27 minutes and 30 seconds

27 minutes

Hope this helps :-)

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50