Question

Is plane A or B faster

Answer 1

The slope of the graph of plane A is 430, its speed is 430 miles per hour.

The slope of the graph of plane B is 460, its speed is 460 miles per hour.

Plane B is flying faster.

Explanation:

The speed of the airplane is the slope of the function, that is, change in distance by change in time. From table, we notice that curve is a first order polynomial, also known that linear function:

Plane A

The slope of the graph of plane A is 430, its speed is 430 miles per hour.

Plane B

The slope of the graph of plane B is:

`v = (1840\,mi-460\,mi)/(4\,h-1\,h)`

`v = 460\,(mi)/(h)`

The slope of the graph of plane B is 460, its speed is 460 miles per hour.

Therefore, plane B is flying faster.