Find the difference in the ages of two people if one was born in 27 B. C. and the other was born in 16 A. D.

43 years

Step-by-step explanation:

So its kind of an absolute value problem so you have to look at it like the distance from 0 A.D.

27+16=42

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:

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation: