QUESTION 1
i
Easy
Suppose a plant has height 1.75 feet and it grows by 0.5 feet each month.
Find the height after 7 months.
SOLUTION
1
Identify initial height and growth rate
Initial height \(= 1.75\) feet
Growth per month \(= 0.5\) feet
Growth per month \(= 0.5\) feet
2
Calculate height after \(7\) months
Using linear growth formula, we get
\(h = 1.75 + 0.5 × 7 = 1.75 + 3.5 = 5.25\) feet
\(h = 1.75 + 0.5 × 7 = 1.75 + 3.5 = 5.25\) feet
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Final Answer : Height after \(7\) months \(= 5.25\) feet.
Concept Note
When a quantity increases by the same amount in equal time interval, it is called linear growth. Its general formula is
\(h = h_{0} + (r × t)\),
where
\(h = \) height after \(t\) months
\(h_{0} = \) initial height
\(r = \) constant monthly growth(fixed amount)
\(t = \) time in months