Gerri purchases a coupon book with discounts for her favorite coffee shop. Every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book. A table showing Coffee Shop Coupon Savings with 2 columns and 6 rows. The first column, x, has the entries, 0, 5, 10, 15, 20. The second column, y, has the entries. negative 20, negative 10, 0, 10, 20.
What are the slope and y-intercept of the line represented by the points shown in the table?

9514 1404 393

  b.  slope: 2; y-intercept: -20

Step-by-step explanation:

The y-intercept is the first point in the table, where x=0. That eliminates choices A and D.

The slope is the difference in y divided by the difference in x. Using the first and second points in the table, this is ...

  (-10 -(-20))/(5 -0) = 10/5 = 2

The slope is 2; the y-intercept is -20.

7

step-by-step explanation:

the answer would be 7

, 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