<em><u>Question</u></em>
P c
4 14
5 17
6 20
7 23
There are 3 caterpillars on each plant, and there are 2 caterpillars on the ground. The table shows how the number of caterpillars, c, depends on the number of plants, p. Choose the equation which represents the rule.
A) c = 3p + 3
B) c = 2 − 3p
C) c = 3p − 2
D) c = 3p + 2
<em><u>Answer:</u></em>
c = 3p + 2 is the equation that shows relation between number of caterpillars and plants
<em><u>Solution:</u></em>
Given that,
There are 3 caterpillars on each plant
And there are 2 caterpillars on the ground
Let the number of plants be "p"
Let the number of caterpillars be "c"
The equation that shows relation between number of caterpillars and plants is:
If there are 3 caterpillars on each plant, then for "p" plants, there will be "3p" caterpillars
Number of caterpillars = 3p + 2 caterpillars on the ground
Therefore,
Number of caterpillars = 3p + 2
c = 3p + 2
Thus the equation is found