in order to become a member at the gym there is a $75 startup fee. Saint have to pay $15 per month. write an equation in slope intercept for modeling the situation where y represents the total cost an extra presents the number of months at the gym

I think the answer to your question is y=15x+75

Step-by-step explanation:

To become a member you automatically have to pay $75. $75 is your y-intercept because before you work at the gym you have to pay $75. The $15 would be your x or your slope because each month you would have to pay 15 dollars. So the slope intercept form would be y=15x+75. I hope that helps.

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5

, 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