Respuesta :
Using linear functions, it is found that the two plans cost the same for 5000 minutes of calling.
What is a linear function?
A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
For Plan A, the cost is of $25 plus an additional $0.09 for each minute of calls, hence the y-intercept is [tex]b = 25[/tex], the slope is of [tex]a = 0.09[/tex], and the function is:
[tex]A(x) = 0.09x + 25[/tex]
For Plan B, the cost is of $0.14 for each minute of calls, hence the y-intercept is [tex]b = 0[/tex], the slope is of [tex]a = 0.14[/tex], and the function is:
[tex]B(x) = 0.14x[/tex]
The plans cost the same for x minutes of calling, considering that:
[tex]B(x) = A(x)[/tex]
[tex]0.14x = 0.09x + 25[/tex]
[tex]0.05x = 250[/tex]
[tex]x = \frac{250}{0.05}[/tex]
[tex]x = 5000[/tex]
The two plans cost the same for 5000 minutes of calling.
To learn more about linear functions, you can take a look at https://brainly.com/question/24808124
