help please im on my final exam for algebra and i need to pass this is the second time taking it.

media services charges $20 for a phone and $30 a month for itd economy plan. the equation c=30t+20 describes the total cost c, of operating a media service phone for t months.

the total cost for two months service?
if a customer has only $90 available how many months of service can she recive?

Total cost for 2 months is 20 + 30 + 30.

so it would be $80 for two months then?

Right.

thank you that means she will be only able to get two months with her $90 then?

or maybe two and a half months with her $90>?

Services don't sell parts of months. Yes her $90 buys her the phone and two months service. She'll have $10 left over.

thank you

You're welcome.

To find the total cost for two months of service, we can substitute the value t = 2 into the equation c = 30t + 20.

c = 30(2) + 20
c = 60 + 20
c = 80

Therefore, the total cost for two months of service is $80.

To determine how many months of service a customer can receive with only $90 available, we need to solve the equation c = 30t + 20 for t by rearranging the equation.

c = 30t + 20
subtract 20 from both sides:
c - 20 = 30t
divide both sides by 30:
(c - 20)/30 = t

Now we can substitute c = 90 into the equation to find the value of t.

(c - 20)/30 = t
(90 - 20)/30 = t
70/30 = t
7/3 = t

Therefore, the customer can receive service for approximately 2.33 months (rounded to two decimal places).