Question

Need to write the formula and then make a graph for the following problem. Number of tablespoons T = the number of teaspoons X divided by3

Answer 1

Given:

The number of tablespoon is T.

The number of teaspoon is X.

The objective is to write formula and make a graph for the statement, Number of tablespoons T = the number of teaspoons X divided by 3.

Step-by-step explanation:

The equation can be written as,

`T=(X)/(3)`

To plot the graph:

Consider 3 values of X -3, 0, 3.

Substitute the values of X in the obtained equation to find the value of T.

At X = -3,

`\begin{gathered} T=(-3)/(3) \\ T=-1 \end{gathered}`

Thus, the coordinate is (-3,-1).

At X = 0,

`\begin{gathered} T=(0)/(3) \\ T=0 \end{gathered}`

Thus, the coordinate is (0,0).

At X = 3,

`\begin{gathered} T=(3)/(3) \\ T=1 \end{gathered}`

Thus, the coordinate is (3,1).

On plotting the coordinates in the graph,

Hence, the required equation is T = (X/3) and the graph of the equation is obtained.