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y = 12.5x (option C)
Explanation:
Let x represent the number of hours
let y represent the number of miles
The relationship between the number of miles and the number of hours:
y = kx
where k = constant
when the bicyclist rides 25 miles every 2 hours during a race:
y = 25miles, x = 2hours
Inserting the values in our relationship:
25 = k(2)
k = 25/2
We insert the value of k in the equation: y = kx
The relationship between the number of miles and the number of hours the bicyclist rides becomes:
y = 25/2 (x)
y = 12.5x (option C)