Question

a restaurant that accepts reservations attempts to always have 4 extra tables available for customers who did not reserve a table. write the linear function that finds the total number of tables, y, based on the number of reserved tables, x. additionally, find the y-intercept of that function. y = y-intercept :

Explanation:

Step1: Define the linear function

The total number of tables \( y \) is the sum of reserved tables \( x \) and 4 extra tables. So the linear function is \( y = x + 4 \).

Step2: Find the y - intercept

For a linear function in the form \( y = mx + b \), the y - intercept is \( b \). In the function \( y=x + 4\), comparing with \( y=mx + b\) (where \( m = 1\) and \( b = 4\)), the y - intercept is 4.

Answer:

\( y = x + 4 \)
\( y \)-intercept : 4