Andrea drives 21 miles from home to work each day. If andrea drives 35 miles per hour, how many minutes will it take er to get to work?

t = 36 minutes

Step-by-step explanation:

Given that,

Distance Andrea drive from home, d = 21 miles

The speed of Andrea, v = 35 mph

We need to find how many minutes will it take er to get to work. Let the time is t. We know that,

speed = distance/time

or

t = 36 min

So, the required time is 36 minutes.  

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: