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a flower 3in. tall grows an average of 1.5 in. each month. Which equation models the flower's height h after x months?

Respuesta :

y=3+1.5x , because the plants original height is 3 in, and then it grows 1.5 in after every month. 

Answer:

The required equation is [tex]h=3+1.5x[/tex], where h is height and x is number  of months.

Step-by-step explanation:

The height of the flower is the sum of initial height and variable height.

Let h is height, h₀ is initial height, m is average growth rate and x is number of months, then the height of the flower is

[tex]h=h_0+mx[/tex]

It is given that the initial height of the flower is 3 inches and the average growth rate is 1.5. So the height of the flower is model by the equation

[tex]h=3+1.5x[/tex]

Therefore the required equation is [tex]h=3+1.5x[/tex], where h is height and x is number  of months.