Chapter 2: Introduction to Linear Polynomials

Exercise

Question

Question: 1 (ii)

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Suppose a plant has height 1.75 feet and it grows by 0.5 feet each month.

(ii) Make a table of values for t varying from 0 to 10 months and show how the height, h, increases every month.

Answer

1
Recall the expression derived in the previous question for the plant height after t months.
$h = 1.75 + 0.5t$
2
Find the height for each value of t from 0 to 10 months using the linear expression.
${color:green}Answer: The table shows that the plant height increases by 0.5 feet every month.{/color}$
$t$ (months)
$h$ (feet)
0
1.75 + 0.5 × 0 = 1.75
1
1.75 + 0.5 × 1 = 2.25
2
1.75 + 0.5 × 2 = 2.75
3
1.75 + 0.5 × 3 = 3.25
4
1.75 + 0.5 × 4 = 3.75
5
1.75 + 0.5 × 5 = 4.25
6
1.75 + 0.5 × 6 = 4.75
7
1.75 + 0.5 × 7 = 5.25
8
1.75 + 0.5 × 8 = 5.75
9
1.75 + 0.5 × 9 = 6.25
10
1.75 + 0.5 × 10 = 6.75
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