How do you put "$0.20 per text message and $55 for 1,000 minutes of talk time per month." in a expression?

Our word problem: $0.20 per text message, $55 for 1,000 minutes of talk time per month."

Since a person has to pay 20 cents whenever they send a text message, and we do not know how many messages they will send, that is an unknown value, so we will label the number of messages they send as x.

Since they are limited to 1,000 minutes of talk time per month and they have to pay $55, we have to set this as an inequality, since we do not know if they will use up all 1,000 minutes of talk time. We have to use the less than or equal to sign to indicate that they cannot talk more than 1,000 minutes.

≤ 55

Text messages: $0.20x

Talk time: ≤ $55

We cannot put both of these into one expression.

answer: do you still need this?

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for