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Six upright dominos of increasing height are lined up to be knocked down. The dominos are numbered 0 to 5. The smallest domino. #O. is 5.00 cm tall and will be toppled by a person to start the chain reaction. Each subsequent domino is 20% taller than the one before. What is the height of domino #5? At what domino will the height be grater than 30cm?

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raphealnwobi

The height of domino number 5 is 12.44 cm, while domino number 10 would have a height greater than 30 cm.

Exponential function

An exponential function is given by:

y = abˣ

where a is the initial value of y at x = 0, y, x are variables and b is the multiplication factor

Let y represent the height of the number x domino

Since the height of the smallest domino no 0 is 5 cm, hence a = 5. b = 100% + 20% = 1.2

y = 5(1.2)ˣ

For x = 5:

y = 5(1.2)⁵ = 12.44 cm

For y = 30:

5(1.2)ˣ > 30

x = 10

The height of domino number 5 is 12.44 cm, while domino number 10 would have a height greater than 30 cm.

Find out more on Exponential function at: https://brainly.com/question/12940982

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