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Dweath50
27.07.2020 •
Mathematics
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
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Ответ:
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](/tpl/images/0713/5633/de635.png)
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](/tpl/images/0713/5633/3dcf7.png)
Let us put![n = 1 \Rightarrow T =5\times 1 +20 = 25](/tpl/images/0713/5633/2d12d.png)
Let us put![n = 2 \Rightarrow T =5\times 2 +20 = 30](/tpl/images/0713/5633/7d21b.png)
Let us put![n = 3 \Rightarrow T =5\times 3 +20 = 35](/tpl/images/0713/5633/b1fe3.png)
Let us put![n = 4 \Rightarrow T =5\times 4 +20 = 40](/tpl/images/0713/5633/d9b95.png)
So, the table of values becomes:
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.
Ответ: