The time length in hours of a certain airplane flight can be represented by the function f (x) = 0.0025x + 0.75, where x is the number of miles for the flight. The time length of another airplane flight in hours can be represented by the function g (x) = 0.004x + 0.5, where x is the number of miles for the flight. Which function represents the sum of the flight time lengths, h (x) = f (x) + g (x) ?

h (x) = - 0.029x + 0.25, h (x) = 0.0065x - 1.25, h (x) = 0.029x - 0.25, h (x) = 0.0065x + 1.25

h (x) = 0.0065x+1.25

Step-by-step explanation:

Given the time length in hours of a certain airplane flight represented by the function f (x) = 0.0025x + 0.75.

The time length of another airplane flight in hours can be represented by the function g (x) = 0.004x + 0.5.

x is the number of miles for the flight

The function that represents the sum of the flight time lengths is given as h (x) as shown;

h (x) = f (x) + g (x)

To get h (x), we will substitute the functions f (x) and g (x) into formula for function h (x) as shown below;

h (x) = (0.0025x + 0.75) + (0.004x + 0.5)

Collecting the like terms;

h (x) = 0.0025x + 0.004x + 0.75 + 0.5

h (x) = 0.0065x+1.25

This gives the sum of the flight time lengths