Question

Will fan and medal!!!!!!!!!!!!!!! Please help!

5.) A tree that is 8 feet tall is growing at a rate of 1 foot each year. A different tree that is 10 feet tall is growing at a rate of half a foot each year. Write expressions to show how tall each tree will be in x years.
5a.) First expression.
5b.) Second expression.
5c.) Use your expressions to find how many years it will take for the trees to be the same height.

Answer 1

Case 1: the first tree has already grown to a height of 8 feet. This is your initial valule.
It continues to grow, at the RATE of 1 foot/year.
Recall: Rate * time = amount.

Use the given info to write a linear equation for the height of the first tree as a function of time.

Answer 2

Would it be x=8?

Answer 3

And then 1/2 x = 10

Answer 4

@mathmale Was I correct?

Answer 5

How do I figure the rest out?

Answer 6

You'll need to start with the basic equation of a straight line: y = mx + b, where m is the slope (rate), x is the independent variable (such as time), and b is the y-intercept (or initial value).

In y our first case you have the initial value b=8 feet, and the growth rate (slope) is m=(1 ft)/ (year).

Again I ask you to write the appropriate equation for the height of the first tree, which is described as a linear equation.

Answer 7

y=x+8

Answer 8

And the y=1/2 x+10 ?

Answer 9

And then I do this:
x+8=1/2 x+10
1/2x+8=10
1/2x=2
x=1
right

Answer 10

I mean x=4

Answer 11

and then y=12

Answer 12

Am I correct?

Answer 13

Your "y=x+8" correctly models the growth of the first tree. Good. You could improve y our work by including units of measurement:\[y=\frac{ 1foot }{ year}*t+8feet\]

Answer 14

Your " y=1/2 x+10 " is appropriate. Again, it'd be better were you to include units of measurement.

.

Answer 15

You typed,

"x=1
right"

Explain what " x = 1 " represents. How could you check your work yourself, so that you'd not need to ask me, "right?" ?

Answer 16

Actuallly it's x=4 because 2/.5 equals 4
And I don't know what that represents. It did say that x represents years but if that is so than what does y represent.

Answer 17

Can you tell me what y represents? Please

Answer 18

Why did you equate your two equations? Please go back and re-read the original question.

Answer 19

"5c.) Use your expressions to find how many years it will take for the trees to be the same height." It exactly states Use your EXPRESSIONS to find......
So how am i supposed to do that when I have 2 variables

Answer 20

What does y represent? " Write expressions to show how tall each tree will be in x years. "

Answer 21

Actually, you have two equations. If you equate one equation to the other, y ou have automatically eliminated one variable (y). What x value did you get, and what are the units of measurements for that x value?

Answer 22

4 years

Answer 23

So is that correct?

Answer 24

What does "4 years" represent? Explain in words.

Answer 25

I'm putting 4 years. thanks for all the help.

Answer 26

I don't need to explain

Answer 27

I disagree. Please see 5c. I would not ask you to do something that I thought unhelpful.