Question

A plant reaches the height of 5 cm in 7 days and 10 cm in 17 days. By using linear

interpolation, the approximate height of the plant in 15 days is

a) 6.0 cm

b) 7.5 cm

c) 8.8 cm

d) 9.0 cm​

Answer 1

Step-by-step explanation:

7.5 cm height of the plant approximately

Answer 2

D) 9.0 cm

Step-by-step explanation:

Given:

x1 = 7

x2 = 17

x = 15

y1 = 5

y2 = 10

To find:

Approximate height of plant in 15 days, y

Formula for linear interpolation process :-

$y = y1 + ((x - x1) \div (x2 - x1)) \times (y2 - y1)$

Substituting the values in the above formula, we get

y = 5 + ((15 - 7)/(17 - 7))*(10 - 5)

y = 5 + (8/10)*5

y = 5 + 4

y = 9

So, the approximate height of the plant in 15 days will be 9.0 cm.