Question

Andre rode his bike at a constant speed, covering 2 3/4 miles in 11 3/2 minutes. The equation representing the distance d he rode (in miles) after the time t (in minutes) is:

a) d = 2.75t
b) d = 2t + 3.5
c) d = 3t
d) d = 3.5t

Answer 1

To find the equation representing the distance Andre rode after time t, we use the formula for average speed. After converting the mixed numbers to improper fractions and calculating the average speed, we get the equation d = (1/7)t. None of the given options is correct.

Step-by-step explanation:

To find the equation representing the distance Andre rode after time t, we can use the formula for average speed: average speed = distance / time. In this case, Andre covered a distance of 2 3/4 miles in 11 3/2 minutes. To convert the mixed numbers to improper fractions, we get 11 3/2 minutes = 17 1/2 minutes and 2 3/4 miles = 11/4 miles. So, the average speed is 11/4 / 17 1/2, which simplifies to 11/4 ÷ 35/2. Dividing fractions is the same as multiplying by the reciprocal, so we have (11/4) * (2/35) = 22/140 = 1/7. Therefore, the equation representing the distance Andre rode after time t is d = (1/7)t, which is not among the options given. None of the given options is the correct equation representing the distance Andre rode.