The price, p, for different size orders of custom printed shirts, n, is given in the table.

can a linear equation be used to model the situation? if it can, what is the slope and the y-intercept of the equation?

linear:  slope =10,y-intercept=25

Step-by-step explanation:

Yes, a linear equation can be used to model the situation because for any two given pints, there is a constant value of 10 for change in (p) over change in (n).

The slope is given by:

Using (1,35) and (5,75) from the table, we have:

Therefore the slope is 10.

Using the formula

, and the point (1,35) we have:

Therefore the y-intercept is 25.

step-by-step explanation:

1. the cylinder is a. 54

2.   a.108 /

, 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