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The distance, d, you bike varies directly with the amount of time, t, you bike. Suppose you bike 31.125 miles in 2.5 hours. Write an equation that relates d and t.

Respuesta :

Answer:

d=10.8t

Step-by-step explanation:

The distance "d" you bike varies directly with the amount of time "t" you bike.

Therefore d a t

To turn it into a equality , we introduce k, proportionality constant

d=kt

The distance "d" you bike varies directly with the amount of time "t" you bike. Therefore,

d α t

To turn it into equality, we introduce k, proportionality constant.

d = kt

We find the value of k from the given conditions. Suppose you bike 31.125 miles in 2.5 hours.

31.125 = k(2.5)

k = 12.45 miles/hour

Therefore the equation would be:

d = 12.45t

It is a linear graph with a slope of 12.45 and it passes at the origin