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

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3