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

Answer:

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

The amount CO2 in 2050 will be about 3727 ppm

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);

$Slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{410-310}{2020-1960}=\frac{100}{60}=\frac{5}{3}$

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

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

$y=\frac{5}{3}x+310$

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

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

So the amount CO2 in 2050 will be about 3727 ppm