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.

Question

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

c = 3p + 2 is the equation that shows relation between number of caterpillars and plants

Solution:

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