Question

A person standing on a moving walkway travels 80 feet in 40 seconds. What equation represents the relationship? How many feet will a person travel in 10 seconds?​

Answer 1

Answer:

Option B. y = 2x; 20 feet

Step-by-step explanation:

1. Determination of the equation that represents the relationship.

Let y be the distance travelled.

Let x be the time taken.

Let K be the speed.

From the question given above, the following data were obtained:

Distance (y) = 80 ft

Time (x) = 40 s

Speed (k) =.?

Speed = Distance /time

K = y/x ......... (1)

K = 80/40

K = 2 ft/s

Substitute the value of k into equation 1

K = y/x

K = 2 ft/s

2 = y/x

Cross multiply

y = 2x

Therefore, the equation that represents the relationship is y = 2x

2. Determination of the distance travelled in 10 s.

Speed (k) = 2 ft/s

Time (x) = 10 s

Distance (y) =.?

y = 2x

y = 2 × 10

y = 20 ft

Therefore, the person will travel 20 feet in 10 seconds.

From the above calculations, the right answer to the question is

Option B. y = 2x; 20 feet