the equation y=0.5x represents the distance henry hikes, in miles, over time, in hours. the graph represents the rate that clark hikes. determine which hiker is faster. explain.

I think there's supposed to be a picture here. Anyway, you can find out by finding the slope of the line on the graph and comparing it to .5 which is Henry's slope. If the graphed slope is larger than .5 then Clark hikes faster, if it is less than .5, Henry hikes faster.

Hope this helps :)

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MrRoyal MrRoyal · Answer 2 · 2021-11-04T15:58:59+01:00

The slope of a graph is the rate of change of the graph.

Clark hikes faster than Henry

From the Clark's graph (see attachment), we have the following points

[tex]\mathbf{(x,y) = (0,0),(4,6)}[/tex]

The slope (m) is calculated as:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]

[tex]\mathbf{m = \frac{6-0}{4-0}}[/tex]

[tex]\mathbf{m = \frac{6}{4}}[/tex]

[tex]\mathbf{m = 1.5}[/tex]

Henry's equation is given as:

[tex]\mathbf{y = 0.5x}[/tex]

A linear equation is represented as:

[tex]\mathbf{y = mx + b}[/tex]

Where:

m represents the slope/rate

So, by comparison:

[tex]\mathbf{m = 0.5}[/tex]

So, we have:

[tex]\mathbf{m = 0.5}[/tex] ----- Henry

[tex]\mathbf{m = 1.5}[/tex] --- Clark

1.5 is greater than 0.5.

Hence, Clark hikes faster than Henry

Read more about slopes and rates at:

https://brainly.com/question/1982562