Question

a passenger plane needs a crew of 8 to operate, regardless of the number of passengers. write the linear function that finds the total number of people on the plane, y, based on the number of passengers, x. additionally, find the y-intercept of that function.

y =

y-intercept :

Explanation:

Step1: Define the linear function

The total number of people \( y \) on the plane is the sum of the number of passengers \( x \) and the crew of 8. So the linear function is \( y = x + 8 \).

Step2: Find the y - intercept

The general form of a linear function is \( y = mx + b \), where \( b \) is the y - intercept. In the function \( y=x + 8\), comparing with \( y=mx + b\) (here \( m = 1\) and \( b=8\)), the y - intercept is 8.

Answer:

The linear function is \( y=x + 8 \), and the y - intercept is 8.
For the function: \( y=\boldsymbol{x + 8}\)
For the y - intercept: \(\boldsymbol{8}\)