Chapter 2: Introduction to Linear Polynomials
Chapter 2: Introduction to Linear Polynomials
Exercise
Question
Question: 1 (i)
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Suppose a plant has height 1.75 feet and it grows by 0.5 feet each month.
(i) Find the height after 7 months.
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Answer
1
Determine the linear for the plant height after t months.
Initial height = 1.75 feet
\text{Growth in $t$ months = $0.5t$ feet $\quad$ ${color:#625b5f}[Monthly growth = 0.5 feet]{/color}$}
Hence, linear expression for height $h$ after $t$ months = $1.75 + 0.5t$
2
Find the plant height after 7 months using the linear expression.
\text{1.75 + 0.5 × ${color:#2E2EFF}7{/color}$}
⇒
1.75 + 3.5
⇒
5.25
3
Write the plant height after 7 months.
Answer: Plant height after 7 months = 5.25 feet