Which equation represents the data in the table?

The data represents

t=4d+5

t = 4d + 5

Step-by-step explanation:

The answer can be obtained through trial and error method.

Checking :

(1) d = 1

t = 4d + 5

t = 4 (1) + 5

t = 4 + 5

t = 9

(2) d = 5

t = 4d + 5

t = 4 (5) + 5

t = 20 + 5

t = 25

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: