Question

can you please help me match these questions based on this graphAlso, determine what the amount of atmospheric CO2 will be in 2050.

Answer 1

`\begin{gathered} b\rightarrow Y-intercept \\ X-axis\rightarrow Year \\ Y-axis\rightarrow CO2\text{ in the atmosphere} \\ M-value\rightarrow rate\text{ of CO2 increase} \end{gathered}`

The amount CO2 in 2050 will be about 3727 ppm

Step-by-step explanation:

Given:

Recall that the equation of a line in slope-intercept form is generally given as;

`y=mx+b`

where;

m = slope of the line

b = intercept of the line

Looking at the graph, we can go ahead and match the items as seen below;

`\begin{gathered} b\rightarrow Y-intercept \\ X-axis\rightarrow Year \\ Y-axis\rightarrow CO2\text{ in the atmosphere} \\ M-value\rightarrow rate\text{ of CO2 increase} \end{gathered}`

Let's go ahead and determine the slope of the line using (1960, 310) and (2020, 410);

`Slope(m)=(y_2-y_1)/(x_2-x_1)=(410-310)/(2020-1960)=(100)/(60)=(5)/(3)`

From the graph, we can see that the y-intercept(b) is 310.

So the equation of the line can now be written as;

`y=(5)/(3)x+310`

So when x = 2050, let's go ahead and find y;

`\begin{gathered} y=(5)/(3)(2050)+310 \\ y=3727 \end{gathered}`

So the amount CO2 in 2050 will be about 3727 ppm