A sunflower is planted in a garden and the height of the sunflower increases by 7% per day. 2.79 days after being planted the sunflower is 15.7 inches tall. What is the 1-day growth factor for the height of the sunflower

Respuesta :

Answer:

Step-by-step explanation:

Using the growth formula

H = H₀ ( 1 + r) ^n

where H is the present height, H₀ is the initial height at which the plant was grown, r is the rate and n is the number of days

H = H₀ ( 1+0.07)^2.79

15.7 =  H₀ (1.07)^2.79

15.7 /  (1.07)^2.79 = H₀

H₀ = 13 inches

Height after one day = 13 ( 1.07)¹ = 13.91 and the growth factor is 1.07

On day 0 the sunflower measured 13 inches, while on day 1 it measured 13.91 inches.

Since a sunflower is planted in a garden and the height of the sunflower increases by 7% per day. 2.79 days after being planted the sunflower is 15.7 inches tall, to determine what is the 1-day growth factor for the height of the sunflower the following calculation must be performed:

  • X x (1 + 0.07) ^ 2.79 = 15.7
  • X x 1.07 ^ 2.79 = 15.7
  • 1.2077X = 15.7
  • X = 15.7 / 1.2077
  • X = 13
  • 13 x 1.07 = 13.91

Therefore, on day 0 the sunflower measured 13 inches, while on day 1 it measured 13.91 inches.

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