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.

Question

phucdien · Answer

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

Nem · Answer

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

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