The pond can hold 400 water lilies. By what day will the pond be full? Write and solve an equation.
Answers
The complete question is:
Regression equation: y = 3.915(1.106)ˣ . The pond can hold 400 water lilies. by what day will the pond be full? write and solve an equation. the pond will be full by the end of day.
Given:
(i) The regression equation is: y = 3.915(1.106)ˣ.
(ii) The pond can hold 400 water lilies.
To find:
(i) After how many days, will the pond be full.
Solution:
y = 3.915(1.106)ˣ
Here, y is equal to the number of water lilies the pond can hold.
So, y = 400
And, x is the required time taken.
So,
400 = 3.915(1.106)ˣ
⇒ (1.106)ˣ = 400/3.915
⇒ (1.106)ˣ = 102.17
Taking logarithm on both sides, we get
log (1.106)ˣ = log (102.17)
⇒ x log (1.106) = log (102.17) [log aˣ = x loga]
⇒ x = [log (102.17)/log (1.106)]
⇒ x = 45.92
x ≅ 46
So, the pond will take 46 days to become full.
Answer:
The answer is 46 on EDGE 2021
Step-by-step explanation:
Just took this course