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?
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.