The graph of the sequence would have
(check image)

Explanation:

The four points on this curve are

(1, 3) ,  (2, 6),  (3, 12) ,  (4, 24)

The equation of the curve that goes through all the points mentioned is

y = 3*2^(x-1) which is equivalent to y = 1.5*2^x

Both equations are exponential equations.

Sequences of the form

a(n) = a*(r)^(n-1)

are geometric sequences with common ratio r. In this case, r = 2.

Note how the jump from 3 to 6 is "times 2", so is from 6 to 12, and from 12 to 24. We multiply each term by 2 to get the next one.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

30 people weigh 160 pounds or more