14. An engineer recorded the acceleration of an experimental rocket. Determine the model that best describes the data and then write an equation for the function that models the data.

time (sec) 0. 1 2 3 4

speed (mph)41236108324

(SHOW WORK)

if looking for the function that best models graph, f(x)=4*(3^x) is the function that satisfies values.

Step-by-step explanation:

f(0)=4*(1)=4

f(1)=4*(3)=12

f(2)=4*(9)=36

f(3)=4*(27)=108

f(4)=4*(81)=324

yes yes yes yes yes yes yes yes yes

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4