Question

The length of time in hours of two airplane flights are represented by the following functions, where x is the number of miles for the flight:

Flight A: f(x) = 0.003x – 1.2

Flight B: g(x) = 0.0015x + 0.8

Which function represents the total of the flight times, h(x) = f(x) + g(x)?

h(x) = 0.0015x – 2
h(x) = 0.045x – 0.4
h(x) = 0.0045x – 0.4
h(x) = 0.0045x – 2

Answer 1

h(x) = 0.0045x - 0.4

Explanation:

Answer 2

Explanation:

To find the function that represents the total flight times, we need to add the functions f(x) and g(x) together:

f(x) = 0.003x - 1.2

g(x) = 0.0015x + 0.8

Adding these two functions, we get:

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

= (0.003x - 1.2) + (0.0015x + 0.8)

Simplifying the expression:

h(x) = 0.003x - 1.2 + 0.0015x + 0.8

= (0.003x + 0.0015x) + (-1.2 + 0.8)

= 0.0045x - 0.4

Therefore, the function that represents the total flight times is:

h(x) = 0.0045x - 0.4