Question

Compare the 2 functions that are shown. Function A Time (sec) Distance (meters) 140 10 Function B 20 280 D = 135 30 40 50 420 560 700 Which function has a greater speed, and what is the greater speed?

O Function A: 13 meters per second
O Function A; 14 meters per second
O Function B; 13 meters per second
O Function B; 14 meters per second​

Answer 1

The speed of Function B is 14 meters per second, which is greater than the speed of Function A.

Step-by-step explanation:

To determine which function has a greater speed, we need to compare the rates at which the two functions change with respect to time. The speed of an object is determined by the rate at which it covers distance over time. So, we need to find the slopes of the distance-time graphs for both Function A and Function B.

For Function A, the distance changes by 10 meters over a time interval of 140 seconds, giving us a slope of 10/140 = 0.0714 meters per second.

For Function B, the distance changes by 280 meters over a time interval of 20 seconds, giving us a slope of 280/20 = 14 meters per second.

Therefore, Function B has a greater speed of 14 meters per second.