Question

Andre rode his bike at constant speed. He rode

2
3
1
​

miles in
11
3
2
​
minutes.
Write an equation that represents the distance d he rode (in miles) after the time t (in minutes) he spent riding.

Answer 1

The equation representing the distance d (in miles) that Andre rode after time t (in minutes) is d = (1/5)t, assuming he continues riding at the same constant speed.

Step-by-step explanation:

Andre's bike ride can be translated into a mathematical equation by establishing a relationship between distance and time. Since we know the speed is constant, the equation will express this linear relationship using the formula distance = rate × time. To find the rate, we divide the distance covered by the time taken. According to the information given, Andre rode for 2 1/3 miles in 11 2/3 minutes. Converting mixed numbers to improper fractions gives us 7/3 miles and 35/3 minutes. Then, the rate is (7/3) ÷ (35/3) = 1/5 miles per minute.

Now, we can write the equation representing the distance d (in miles) that Andre rode after t (in minutes):

d = (1/5)t.

This equation can be used to calculate the distance for different values of time t during at which Andre continues to ride at this constant speed.