Question

The mass of each candy in a box is 5g. The mass of the empty box is 20g let T grams represent the total mass of the box and candies. Let n represent the number of candies, so that t= 5n + 20 Using the information create a table of values. And graph the relation. Please help asap!! Thanks

Answer 1

Answer:

$\begin{center}\begin{tabular}{ c c } n & T\\ 0 & 20 \\ 1 & 25 \\ 2 & 30 \\ 3 & 35 \\ 4 & 40 \\ \end{tabular}\end{center}$

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, $T = 5n + 20$

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 $n = 0 \Rightarrow T =5\times 0 +20 = 20$

Let us put $n = 1 \Rightarrow T =5\times 1 +20 = 25$

Let us put $n = 2 \Rightarrow T =5\times 2 +20 = 30$

Let us put $n = 3 \Rightarrow T =5\times 3 +20 = 35$

Let us put $n = 4 \Rightarrow T =5\times 4 +20 = 40$

So, the table of values becomes:

$\begin{center}\begin{tabular}{ c c } n & T\\ 0 & 20 \\ 1 & 25 \\ 2 & 30 \\ 3 & 35 \\ 4 & 40 \\ \end{tabular}\end{center}$

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.