Question

bobby has outgrown the bike he rode when he was small. so, for his twelfth birthday, his parents surprise him with a five - speed blaze rider 2000! bobby has never had a bike with multiple speeds before, and he is eager to learn how it works. he starts by testing the middle speed.
there is a proportional relationship between the number of times bobby pedals, x, and the number of times the wheels rotate, y.
what is the constant of proportionality? write your answer as a whole number or decimal.
wheel rotations per time bobby

Explanation:

Step1: Recall the formula for constant of proportionality

For a proportional relationship \(y = kx\), the constant of proportionality \(k=\frac{y}{x}\).

Step2: Select a point from the graph

Let's take the point \((5,10)\) (we can choose any point on the line). Here \(x = 5\) (times Bobby pedals) and \(y=10\) (times wheels rotate).

Step3: Calculate the constant of proportionality

Using the formula \(k=\frac{y}{x}\), substitute \(x = 5\) and \(y = 10\). So \(k=\frac{10}{5}\).

Answer:

\(2\)