Determine which expression is equivalent to 6a + 21. (5 points) a 3(2a + 7) b 3(3a + 18) c 3(a + 7) d 3(3a + 7)

a

Step-by-step explanation:

Given

6a + 21 ← factor out 3 from each term

= 3(2a + 7)

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:

answer: .75 km

step-by-step explanation: