Question

Dwayne grew 16 plants with 8 seed packs. How many seed packets does Dwayne need to have a total of 18 plants in his backyard? Assume the relationship is directly proportional.

Answer 1

Dwayne needs 9 seed packs to grow 18 plants

Since he has already grown 16 plant with 8 seed packs, maybe the answer is 1 pack as he only needs one more

Explanation:

If 8 seed packs can create 16 plants then

8 x seed packs = 16 plants

solving for seed plants by dividing both sides by 8

1 seed pack = 2 plants

we could use a variable to make it easier to write as well. We will use s to represent seed packs

8s = 16

so

s = 2

That's just the same thing as above but shorter by not spelling out seed packs and plants.

Anyway, what we are trying to find out is how many seed packs are needed to grow 18 plants and we are assuming that the relationship between seed packs and plants is the same or directly proportional.

We can use the variable x to stand for the unknown number of seed packs and write the equation as follows

x * s = 18

If we divide both sides by s we maintain the equality as we changed both side in the same was and we get the following

x = 18 / s

We already know that s is equal to 2 so we can replace the variable s with the number 2

x = 18 / 2

If we divide 18 by 2 we get 9

x = 9

So you need 9 seed packs to grow 18 plants

Answer 2

9

Explanation:

there are 8 seed pack and the each have 2 plants, which would equal 16 plants total, so for a total of 18 you would add one more pack

16÷2=8

18÷2=9