Answer:
d = 10h
Step-by-step explanation:
To write an equation for the graphed line, we can begin by finding its slope. To do this, substitute two points on the line into the slope formula. Let's use points (1, 10) and (2, 20):
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{20-10}{2-1}=\dfrac{10}{1}=10[/tex]
Therefore, the slope of the line is m = 10.
Now, substitute the slope (m = 10) and the point (1, 10) into the point-slope formula, and rearrange to isolate y:
[tex]y-y_1=m(x-x_1)\\\\y-10=10(x-1)\\\\y-10=10x-10\\\\y-10+10=10x-10+10\\\\y=10x[/tex]
For the given graph, h is the independent variable along the horizontal axis, while d is the dependent variable along the vertical axis. Therefore, we can substitute h for x and d for y in the found equation:
[tex]d=10h[/tex]
Therefore, the equation to find the distance (d) for any number of hours (h) is:
[tex]\LARGE\boxed{\boxed{d=10h}}[/tex]
