The graph represents the rate at which Marlo makes origami birds for a craft fair. The equation y = 2.5x represents the number of birds, y, Josh makes in x minutes. Who makes birds at a faster rate? Convince Me! If you were to graph the data for Josh and Marlo on the same coordinate plane, how would the two lines compare? A graph shows time in minutes on the x axis and number of birds on the y axis. the graph is titled Marlo's Rate. The line starts at (0,0) and goes through (40,8).

Answer:

3.0

Step-by-step explanation:

The slope of a graph is the rate of the graph

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

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