Question

I need to figure out at what height both my and my teacher's tree will be the same height, then I need to find its point intercept, slope, and equation y = mx + b, and a system.

Here's the information:

Teacher's tree:

Growth rate: 10 inches per year, slow rate

Mature size: Around 80 feet

My Tree:

Growth rate: 5-8 feet per year, fast rate

Mature size: Around 50 feet


X = Number of feet
Y = number of years

My teacher's tree is on the y-intercept and mine's on the x-intercept, and I have to use the point-slope formula to find my equation. I need help, I've been grinding away for days trying to get this finished, I can't keep up, and if I don't finish it in time, I'll flunk math, please help!

Answer 1

you still need to specify the initial height. That will be the y-intercept.
If they both start at the same height, the slower tree will never catch up to the faster tree.

So something is missing here. what does the mature height have to do with how fast they grow?

y = mx+b means
height = (growth rate)*(# years) + (starting height)

Answer 2

I don't know, my teacher says the mature height is an important part of this for some reason.

Answer 3

It still makes no sense. You say

x = Number of feet
y = number of years
My teacher's tree is on the y-intercept and mine's on the x-intercept

Soc why would one tree be on one axis, and not both? And what does it even mean for a tree to be on either axis? The axes are for height and age, not trees, which have both.