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​

Respuesta :

Answer:

A

Step-by-step explanation:

SpeedĀ is the rate of change ofĀ distanceĀ overĀ time.

TheĀ equationĀ represents theĀ amount of timeĀ t isĀ \mathbf{t = 5 d}t=5d

SpeedĀ is calculated using:

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

WhenĀ distanceĀ = 1 mile, andĀ timeĀ = 5 minutes.

We have:

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

WhenĀ distanceĀ = d, andĀ timeĀ = t

We have:

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

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

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

Cross multiply

\mathbf{t = 5 \times d}t=5Ɨd

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

Hence, theĀ equationĀ represents theĀ amount of timeĀ t isĀ \mathbf{t = 5 d}t=5d

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.