Question

The height, h, of a plant (in inches) w weeks since it was planted is represented by the equation h=1.2w+3. How many weeks will it take the plant to reach one foot?

Answer 1

Answer:

7.5 weeks

Step-by-step explanation:

If you want to find out how long it take for the plant to reach a foot you set up the equation like so:

12=1.2w+3

and solve from there.

12=1.2w+3                       Subrtact 3 from both sides

9=1.2w                             Divide by 1.2 to isolate w

7.5=w                              Answer is 7.5 weeks

Answer 2

The $7.5$ weeks it will take the plant to reach one foot.

What is height?

In math, height is the vertical distance from the top to the base of the object and it is measured in cm, inches, meters, etc.

It is given that the height $h$ of the plant (in inches) $w$ weeks.

The equation is,

$h=1.2w+3$

As we know that,

$12\,\text{inches}=1\,\text{foot}$

The number of weeks that it will take the plant to reach one foot will be:

$h=1.2w+3$

$12=1.2w+3$

$1.2w=12-3$

So,

$w=\frac{9}{1.2}$

$\therefore w=7.5$

Hence, it will take $7.5$ weeks.

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