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