Suppose an arrow is shot upward on the moon with a velocity of 45 m/s, then its height in meters after t seconds is given by h(t) = 45t – 0.83t^2. Find the average velocity over the given time
intervals.
[4, 5]:
[4, 4.5]
[4, 4.1]:
[4, 4.01];
[4, 4.001]:

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:

step-by-step explanation:

milk=16 large

soda=280 kids

juice box=82 regular

63 soda +63 regular

124 large total