Lyla grew 16 flowers with 2 seed packets. how many seed packets does lyla need to have a total of 40 flowers in her garden? assume the relationship is directly proportional. seed packets

Lyla needs 5 seed packets to have 40 flowers in her garden

Step-by-step explanation:

* Lets explain the direct proportion

- Direct proportion is the relationship between two variables when

 their ratio is equal to a constant value

- If m and n are in direct proportion m ∝ n , then m = kn, where

 k is constant

- We can write the direct proportion as m/n = k

* Lets solve the problem

- Lyla grew 16 flowers with 2 seed packets

- The relationship between the number of flowers and the number

 of the seed packets is direct proportional

∴ F ∝ P , where F is the number of the flowers and P is the number

 of the seed packets

∵ F = kP

∵ F = 16 when P = 2

∴ 16 = k(2)

- Divide both sides by 2

∴ k = 8

- Substitute the value of k in the equation

∴ F = 8P

Lets find how many packets does Lyla need to have 40 flowers

∵ F = 40

∴ 40 = 8P

- Divide both sides by 8

∴ P = 5

∴ Lyla needs 5 seed packets to have 40 flowers in her garden

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step-by-step explanation: