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Absolute and Relative Growth

A primary roo...

Question

A primary root grows from 5 cm to 19 cm in a week. The absolute growth rate is __ and the relative growth rate is _ respectively, over a period of one week.

2/day and 2.8

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2/day and 2

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28/day and 28

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28/day and 4

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Solution

The correct option is A
2/day and 2.8

Absolute growth rate is the total growth per unit time. Relative growth rate is the increase in growth of a system with respect to initial parameter during a constant period of time.

Total growth rate in a week (7-days) = 19-5 = 14 cm.

Absolute growth per day = $\frac{T o t a l g r o w t h r a t e}{N u m b e r o f d a y s}$ = $\frac{14}{7}$ = 2.0/day.

Relative growth rate = $\frac{Total growth rate}{Initial growth rate}$ = $\frac{14}{5}$ = 2.8.

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