contestada

Claire bought a plant and planted it in a pot near a window in her house. The plant began to grow 2 inches per month, and after 7 months the plant was 32 inches tall. Write an equation for the function H(t), representing the height, in inches, of the plant t months after Claire bought the plant.
H(t)= answer

Respuesta :

Answer:H(t)=18+2t

Step-by-step explanation:

Let [tex]h_{0}[/tex] the initial height of the tree.

It is given that the tree grows [tex]2[/tex] inches every month.

So,in [tex]t[/tex] months,the tree grows [tex]2t[/tex] inches.

The final height of the tree after [tex]t[/tex] months is the sum of its initial height and its growth in [tex]t[/tex] months.

So,[tex]H(t)=h_{0}+2t[/tex]

Given that [tex]H(7)=32[/tex]

So,[tex]32=h_{0}+2(7)[/tex]

[tex]h_{0}=18[/tex]

So,[tex]H(t)=18+2t[/tex]

Otras preguntas