Question

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

Answer 1

h(x) = 0.0065x+1.25

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