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

When will the tomato plant be between 13 and 27 inches, means you need to substitute h=13 and 27 to fins the two values of t and that value of t will give you the ans
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 2

\[13 \le 2t+3 \le 27\]
\[13-3\le 2t \le 27-3 \implies 10 \le 2t \le 24 \]
\[\implies 5 \le t \le 12\]