Question

The height of a tree has been increasing each year. The graph shows data about the tree's height over time.

Which is a reasonable prediction for the height of the tree in year 4?

A. 4 feet
B. 9 feet
C. 12 feet
D. 16 feet

Answer 1

The height of a tree has been increasing each year. The graph shows data about the tree's height over time.


When the tree reaches a height of 21 feet, the county needs to trim the tree to avoid damage to power lines. Which is a reasonable prediction for the year the tree will be 21 feet tall?

A. year 3
B. year 6
C. year 7
D. year 9

Answer 2

For the first one, trying imagining a straight line going through all the points. Look at where 4 years is

Answer 3

4 years has no dot

Answer 4

Yeah but the tree should still go through 4 years to get to 5 years :) So draw or trace the line and see where 4's dot should be at.

Answer 5

12

Answer 6

Right

Answer 7

Yup yup.

Answer 8

You do the same for the second question.

There is a mathematical way to approach this:
Since you know the relationship is directly proportional(starts at (0,0) and increases linearly), you know that y=kx. When you take any of the points and put in for x and y, you get k. So now you can find any point if you have one of the coordinates using y=kx where is is found.

Answer 9

Thank you so much!

Answer 10

No problemo :)