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?

Verified Answer :

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.

Answer:

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

Step-by-step 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

\(13<2t+3<27\)

Subtract 3 from all the sides.

\(13-3<2t+3-3<27-3\)

\(10<2t<24\)

Divide all the sides by 2.

\(5

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.