Question

What is the y-intercept of the function f(x) = 9x + 7, which models the total number of seats in an auditorium, where x represents the number of rows?

a) 7
b) 9
c) 0
d) 16

Answer 1

The y-intercept of the function f(x) = 9x + 7 is 7, as it represents the value of the function when x is zero. This is where the line crosses the y-axis.

Step-by-step explanation:

The y-intercept of a linear function in form f(x) = mx + b, which models the total number of seats in an auditorium, where x represents the number of rows, is represented by the value of 'b'. This is the value of the function when x is zero, indicating where the line crosses the y-axis on a graph. In the given equation f(x) = 9x + 7, the y-intercept is 7, so the correct answer is a) 7.