Question

Pooja's plant began sprouting 2 days before Pooja bought it, and she had it for 98 days until it died. At its tallest, the plant was 30 centimeters tall.

h(t) models the high of Pooja's plant (in centimeters), t days after she bought it.

Which number type is more appropriate for the domain of h?
A. Integers
B. Real numbers
What's the appropriate domain?
A. 2≤ t ≤30
B. 0≤ t ≤100
C.-2≤ t ≤98
D. 0≤ t ≤30

Answer 1

Total number of Days that Pooja's plant survived= 2 + 98 = 100 Days=(t)

Longest Height obtained by plant = 30 cm= h

As the two , i.e number of Days lived by plant and it's longest height obtained are directly proportional.

We will solve it by unitary method.

100 Days = 30 cm

1 cm = Days

If height of the plant is h cm ,and amount of time taken is t days, then

h(t) cm = ,for t=0,1,2,3,4,5,6....we get different values of h.

Answer 2

B. Real numbers

C. -2≤ t ≤98

Explanation:

t is the no. of days.

There can be 2.5 days too,

So domain should be Real numbers

t days after she bought it,

So 2 days before t = -2

So, -2≤ t ≤98