A6-inch plant grew 2/4 of a inch one week and twice as much the following week, how tall is the plant now?

The plant is 6 inches at the start.

It then grows 2/4 of 1 inch. The plant then grew TWICE 2/4 of 1 inch.

So, 2/4 • 2 = 4/4 or 1 inch.

Let h = height of plant

h = 6 + 2/4 + 1

h = 26/4 + 1

h = 7.5 inches

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: