The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation y = 4x - (1/2)x^2

Question

1. The rate of growth of the plant with respect to sunlight is ______ .

a. 4x - \(\cfrac12\) x²

b. 4 – x

c. x – 4 

d. x - \(\cfrac12\) x²

2. What is the number of days it will take for the plant to grow to the maximum height?

a. 4

b. 6

c. 7

d. 10

3. What is the maximum height of the plant?

a. 12 cm

b. 10 cm

c. 8 cm

d. 6 cm

4. What will be the height of the plant after 2 days?

a. 4cm

b. 6 cm

c. 8cm

d. 10cm

5. If the height of the plant is 7/2 cm, the number of days it has been exposed to the sunlight is ______ .

a. 2

b. 3

c. 4

d. 1

Answer 1

1. b) 4 – x

2. a) 4

Given

We need to find value of x, when y is maximum

Thus, we need to find Maximum value of y

Finding Maximum value of y

dy/dx = 4 -x

Therefore, y is Maximum when x = 4

3. c) 8cm

4. b) 6 cm

To find Height of plant after 2 days

5. d) 1

Since x = 1 

Answer 2

1. b) 4 – x

2. a) 4

3. c) 8cm

4. b) 6 cm

5. d) 1