The slope of a graph is the rate of the graph
- Josh makes birds at a faster rate.
- If you graph the data for Josh and Marlo on the same coordinate plane, Josh's graph will have a steeper line
Josh's equation is given as:
[tex]\mathbf{y = 2.5x}[/tex]
A proportional equation is represented as:
[tex]\mathbf{y = mx}[/tex]
Where m represents the rate.
So, by comparison:
[tex]\mathbf{m = 2.5}[/tex]
The points on Marlo's graph are:
[tex]\mathbf{(x,y) = (0,0)(40,8)}[/tex]
So, the rate is calculated as:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
This gives
[tex]\mathbf{m = \frac{8 - 0}{40 - 0}}[/tex]
[tex]\mathbf{m = \frac{8}{40}}[/tex]
[tex]\mathbf{m = 0.2}[/tex]
So, we have:
[tex]\mathbf{m = 2.5}[/tex] --- Josh
[tex]\mathbf{m = 0.2}[/tex] --- Marlo
2.5 is greater than 0.2
Hence, Josh makes birds at a faster rate.
If you graph the data for Josh and Marlo on the same coordinate plane, Josh's graph will have a steeper line
Read more about slopes at:
https://brainly.com/question/11949671