Question

The height in inches (h) of a tomato plant growing in a garden is given by the equation h=2t+3, where t represents time in days. When will the tomato plant be between 13 and 27 inches?

Answer 1

The number of days in which tomato plant will be 13 and 27 inches is between 5 and 12.

Explanation:

The height in inches (h) of a tomato plant growing in a garden is given by the equation

`h=2t+3`

where t represents time in days.

We have to find the time interval when the tomato plant will be between 13 and 27 inches.

`13<h<27`

`13<2t+3<27`

Subtract 3 from all the sides.

`13-3<2t+3-3<27-3`

`10<2t<24`

Divide all the sides by 2.

`5<t<12`

The value of t lies between 5 and 12.

Therefore the number of days in which tomato plant will be 13 and 27 inches is between 5 and 12.

Answer 2

since h=2t+3 i.e. at h=13 we find 13= 2t+3
i.e. 13-3= 2t
10=2t i.e. t=10/2
i.e. t=5 days
similarly at h=27
we find 27= 2t+3
i.e. 27-3= 2t
24=2t i.e.
t=24/2 i.e.
t=12 days
hence in 5 and 12 days the height of the tomato plant will be between 13 and 27 inches respectively.