Margaret and donovan are twins. they have each kept track of their heights every year since they were 5.

margaret made a table to track her height in centimeters. (i wrote them as (x, y))
(5, 101); (6, 105); (7, 109); (8, 113); (9, 117); (10, 121)

donovan wrote his height as an equation. (h = height; a = age)
h = 105 + 4.25(a - 5)

compare their rate of changes. who had the fastest rate of growth?

a: donovan
b: margaret
c: both had the same rate of growth.
d: not enough information to determine who had the fastest rate of growth.

Donovan  had the fastest rate of growth among the two.

Step-by-step explanation:

Rate of increment of height per  year, for Margaret,

   = (105 - 101)/(6 - 5)

    = 4 cm / year

For Donovan, the equation describing his height (h) as a function of his age (a) is given by,

h = 105 + 4.25( a - 5)

so, rate of increment of height per year for Donovan,

    = 4. 25 cm /year

So, Donovan  had the fastest rate of growth among the two.

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,