The table below shows the amount of money, in thousands of dollars, amelia has saved after different numbers of years: years (x) 1 2 3 4 5 6 money (y) (thousands of dollars) 40 80 120 160 200 240 identify the function that represents amelia's savings and the amount that amelia will have saved in 7 years.

The function that represents her savings is the linear function f(x) = 40x; after 7 years she would have saved $280.

Explanation
We can see that this data is increasing by the same amount every time; this means it is linear. 

Since it is linear, it has a slope.  We find this using the formula
m=(y₂-y₁)/(x₂-x₁)
m=(80-40)/(2-1) = 40/1 = 40

We can now use this and the first point to write our equation in point-slope form:
y-y₁=m(x-x₁)
y-40=40(x-1)

Using the distributive property,
y-40=40*x-40*1
y-40=40x-40

Add 40 to both sides:
y-40+40=40x-40+40
y=40x

For 7 years, we replace x with 7: 40*7=280

d.)The experimental units are assigned randomly to exactly one control group and one or more treatment groups

Step-by-step explanation:

Completely randomized design can be regarded as a type of experimental design in which the experimental units are assigned randomly for different treatments. This experimental design is utilized in cases whereby experimental units are seen to be “uniform" this implies that no uncontrolled factor in the experiment. completely randomized designs are engaged in studying effects of one primary factor by ignoring other nuisance variables it perform comparison of values of a response variable taking into account of the different levels of that primary factor. It should be noted that in completely random design, the experimental units are assigned randomly to exactly one control group and one or more treatment groups