Darcy harvests 8 3/4 acres of corn every 5/6 hour. Darcy harvests corn at a constant rate.

How many acres does she harvest per hour?

10 1/2 acres per hour

Step-by-step explanation:

5/6 of an hour is 50 minutes

1/6 of an hour is 10 minutes.

1/5 of 8 3/4

can be worked out without a calculator

through decimal

8.75/5 =1.75

= 175 x 5 (5 x 0.75 = 3.75 + 500 =8.75)

We then multiply 1.75 x 6 = 10.50 acres per hour

or add to check 8.75+ 1.75 = 10.50 acres per hour

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:

ddd

step-by-step explanation: