The ordered pairs below represent a linear relation between x and y. (-3,0), (-2,4), (-1,8), (0,12), (1,16), (2,20) which of the following is a correct statement about this relation? a. the slope of the line represented by this table is -4 and the y-intercept is -3. b. the slope of the line represented by this table is 4 and the y-intercept is 12. c. the slope of the line represented by this table is 4 and the y-intercept is -3. d. the slope of the line represented by this table is -4 and the y-intercept is 12.

The correct option is B.

Step-by-step explanation:

It is given that the ordered pairs below represent a linear relation between x and y. (-3,0), (-2,4), (-1,8), (0,12), (1,16), (2,20).

At y-intercept the value of x is 0. From the given points we can say that the y-intercept of the function is (0,12).

If a line passing through the two points, then the slope of the function is

The slope of the function is

Therefore the slope of the line represented by this table is 4 and the y-intercept is 12. Option B is correct.

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week