Question

Kadeem rode his bike at a constant speed. He rode 1 mile in 5 minutes. Which equation represents the amount of time in minutes, t, that it took for him to ride a distance of d miles?
A. t = 5d
B. t = 1/5d
C. t = d + 4
D. t = d - 4​

Answer 1

Answer:

A

Step-by-step explanation:

Speed is the rate of change of distance over time.

The equation represents the amount of time t is \mathbf{t = 5 d}t=5d

Speed is calculated using:

\mathbf{Speed = \frac{distance}{time}}Speed=timedistance

When distance = 1 mile, and time = 5 minutes.

We have:

\mathbf{Speed = \frac{1}{5}}Speed=51

When distance = d, and time = t

We have:

\mathbf{Speed = \frac{d}{t}}Speed=td

Substitute \mathbf{Speed = \frac{1}{5}}Speed=51

\mathbf{\frac{d}{t} = \frac 15}td=51

Cross multiply

\mathbf{t = 5 \times d}t=5×d

\mathbf{t = 5 d}t=5d

Hence, the equation represents the amount of time t is \mathbf{t = 5 d}t=5d

Answer 2

Answer:

A

Step-by-step explanation:

The time it took him to go a mile was 5 minutes. 5 minutes for every 1 mile. Thus t = 5d.