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.

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DelcieRiveria DelcieRiveria · Answer 2 · 2019-05-21T08:56:46+02:00

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

[tex]h=2t+3[/tex]

where t represents time in days.

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

[tex]13<h<27[/tex]

[tex]13<2t+3<27[/tex]

Subtract 3 from all the sides.

[tex]13-3<2t+3-3<27-3[/tex]

[tex]10<2t<24[/tex]

Divide all the sides by 2.

[tex]5<t<12[/tex]

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.