Respuesta :
Answer:
[tex]y(6,h) = 24 + 8h[/tex]
Step-by-step explanation:
We are given the following in the question:
Height of plant = 20 inches
Growth of plant for next 4 week = 2h inches.
Growth of plant each week after 4 weeks = 2 inches.
Thus, the expression for plant height is given by
[tex]y = 20 + 4(2h) + (w-4)2, w\geq 4\\y =20 + 8h+2w-8, w\geq 4\\y(w,h) = 12 + 8h + 2w\\\text{If }w \leq 4\\y(w,h) = 20 + 4(2h)\\y(w,h) = 20 + 8h[/tex]
We have to find the expression for plant's height in 6 weeks.
Putting w = 6, we get,
[tex]y(6,h) = 12 + 8h + 2(6)\\y(6,h) = 24 + 8h[/tex]
is the required expression.
Answer:
[tex]20+10h[/tex] inches.
Step-by-step explanation:
We have been given that a plant is 20 inches. The plant grows [tex]2h[/tex] inches each week for the next 4 weeks.
So growth of plant in 4 weeks would be [tex]2h[/tex] times 4 that is [tex]2h\cdot 4=8h[/tex].
We are also told that the plant grows [tex]h[/tex] inches for each of the 2 weeks after that. The growth of plant in these 2 weeks would be [tex]2h[/tex].
The total growth of the plant in 6 weeks would be initial height plus growth in 4 week plus growth in next 2 weeks.
[tex]20+8h+2h\Rightarrow 20+10h[/tex]
Therefore, the growth of plant in 6 weeks would be [tex]20+10h[/tex] inches.
