Question

28. A gardener measures her sunflower each day.

The sunflower is currently150 cm and grows 0.25cm per day.
Part 1 - A) Linear Function
Part 2 - Explain your Reasoning:
B) Exponential Function

Answer 1

1)
`\boxed{\rm{l = 150 + 0.25n}}`

where,

• l is the length of the sunflower
• n is the number of days.

2) The initial length of sunflower is 150 cm and it grows about 0.25 cm per day. It means it has grown 0.25 cm on the first day, then 0.25 × 2 = 0.5 cm on the second day, 0.25 × 3 = 0.75 cm on the third day and so on.. The total increase = 0.25 × n where n is the number of days. Now add the increase to the initial length of the sunflower to get the final length of the sunflower
`.`

Answer 2

Explanation:

y = 0.25x + 150

y = total height after x days

x = total of days

since the rasio of difference in y (Δy) and difference in x (Δx) is constant, therefore it is applicable to linear function