Final answer:
The equation that represents the proportional relationship between the distance d (in miles) and the time t (in minutes) for Andre's bike ride is t = 5d.
Step-by-step explanation:
To find the equation for the proportional relationship that represents the amount of time, t (in minutes), Andre takes to ride a distance of d miles on his bike, we need to use the information given: Andre rides his bike at a constant speed, covering 1 mile in 5 minutes. Therefore, for every mile ridden, it takes him 5 minutes. The relationship between distance and time here is direct, meaning the time is directly proportional to the distance.
To find the equation, we'll use the formula: t = k ⋅ d, where t is the time in minutes, d is the distance in miles, and k is the constant of proportionality. Here, k is equal to 5 minutes per mile, as it takes Andre 5 minutes to cover 1 mile. With this information, we can write the equation as t = 5d.