2009 AMC 8 Problems/Problem 3

Problem

The graph shows the constant rate at which Suzanna rides her bike. If she rides a total of a half an hour at the same speed, how many miles would she have ridden?

[asy] import graph; /* this is a label */ Label f;  f.p=fontsize(0); xaxis(-0.9,20,Ticks(f, 5.0, 5.0));  yaxis(-0.9,20, Ticks(f, 22.0,5.0)); // real f(real x)  {  return x; }  draw(graph(f,-1,22),black+linewidth(1)); label("1", (-1,5), black);  label("2", (-1, 10), black); label("3", (-1, 15), black); label("4", (-1, 20), black); dot((5,5), black+linewidth(5)); dot((10,10), black+linewidth(5)); dot((15, 15), black+linewidth(5)); dot((20,20), black+linewidth(5)); label("MINUTES", (11,-5), S); label(rotate(90)*"MILES", (-5,11), W);[/asy]

$\textbf{(A)}\ 5\qquad\textbf{(B)}\ 5.5\qquad\textbf{(C)}\ 6\qquad\textbf{(D)}\ 6.5\qquad\textbf{(E)}\ 7$

Solution

Suzanna's speed is $\frac{1}{5}$. This means she runs $\frac{1}{5} \cdot 30 = \boxed{ \textbf{(C) }6 }$

Video Solution

https://youtu.be/USVVURBLaAc?t=117

See Also

2009 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
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All AJHSME/AMC 8 Problems and Solutions

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