Question

The graph shows the growth of a tree, with x representing the number of years since it was planted, and y representing the tree’s height (in inches). Use the graph to analyze the tree’s growth. Select all that apply.
The tree was 40 inches tall when planted.
The tree’s growth rate is 10 inches per year.
The tree was 2 years old when planted.
As it ages, the tree’s growth rate slows.
Ten years after planting, it is 140 inches tall.

Answer 1

Answer:

The tree was 40 in tall when planted

The tree's growth rate is 10in per year

Ten years after Planting, it is 140 inches tall

Step-by-step explanation:

original(slope intercept form) : y = 10x + 40

y = 10(10) + 40

y = 100 + 40

y = 40

Answer 2

The graph shows the growth of a tree

Ten years after planting, it is 140 inches tall.

How to analyze the graph?

From the graph attached, the height of the tree is plotted on the y axis and the year is on the x-axis. The line passes through (2,60) and (5,90). The equation of a line passing through two points is given as:

$y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\left(x-x_{1}\right)$

Therefore the equation of the line passing through $(2,60)$ and $(5,90)$

${data-answer}amp;y-60=\frac{90-60}{5-2}(x-2)$ is:

${data-answer}amp;y-60=\frac{30}{3}(x-2)$

${data-answer}amp;y-60=10(x-2)$

${data-answer}amp;y-60=10 x-20$

${data-answer}amp;y=10 x-20+60$

${data-answer}amp;y=10 x+40$

The equation of a line in standard form is y = m x+ c

where c is the intercept on the y axis and m is the slope.

Since y = 10x + 40, m = 10 and c = 40.

The y-intercept is 40 inches, this means the height of the tree at 0 years was 40 inches tall when planted, therefore The tree was 40 inches tall when planted is correct.

The height of the tree at 10 years can be gotten by substituting x = 10 in $y = 10x + 40$

$y = 10(10) + 40$

$= 100 + 40 = 140$ inches.

Therefore, Ten years after planting, it is 140 inches tall is correct.

To learn more about the graph

https://brainly.com/question/17138587

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