The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y. On a graph titled Tammy's Pay, number of hours is on the x-axis and pay in dollars is on the y-axis. A line goes through points (2, 18) and (8, 42).

What does the y-intercept represent?
Tammy initially had $10 pay.
Tammy will type for 10 minutes each day.
Tammy initially had $4 pay.
Tammy will type for 4 minutes each day.

step-by-step explanation:

0

what is the original number? you forgot to add it.

, 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