Answer:
[tex]\begin{center}\begin{tabular}{ c c } n & T\\ 0 & 20 \\ 1 & 25 \\ 2 & 30 \\ 3 & 35 \\ 4 & 40 \\ \end{tabular}\end{center}[/tex]
Please refer to graph attached.
Step-by-step explanation:
Given that mass of each candy in the box is 5 gm.
Mass of empty box is 20 gm.
Total grams, [tex]T = 5n + 20[/tex]
To find: A table of values and graph of the relation.
Solution:
The given equation is nothing but a Linear equation in two variables.
Let us try to create a table of values by putting some values of 'n' and then finding the values for Total grams 'T'.
Let us put [tex]n = 0 \Rightarrow T =5\times 0 +20 = 20[/tex]
Let us put [tex]n = 1 \Rightarrow T =5\times 1 +20 = 25[/tex]
Let us put [tex]n = 2 \Rightarrow T =5\times 2 +20 = 30[/tex]
Let us put [tex]n = 3 \Rightarrow T =5\times 3 +20 = 35[/tex]
Let us put [tex]n = 4 \Rightarrow T =5\times 4 +20 = 40[/tex]
So, the table of values becomes:
[tex]\begin{center}\begin{tabular}{ c c } n & T\\ 0 & 20 \\ 1 & 25 \\ 2 & 30 \\ 3 & 35 \\ 4 & 40 \\ \end{tabular}\end{center}[/tex]
We can see that the value of T is increasing with increasing values of 'n'.
Please refer to the attached image for the graph of given equation.
As it is a linear equation in two variables, it will be a straight line. It will be an increasing positive slope graph.
