Chapter 4 - An Introduction to Functions - 4-2 Patterns and Linear Functions - Practice and Problem-Solving Exercises - Page 243: 10

The table represents a linear function as for every x value there is only one y value. The graph and the table is attached below. The independent variable y is 43 minus eleven (11) times the quantity of the independent variable. The equation is y=43 - 11x

The equation of the relationship is y=43-11x because when there is no independent variable, the value of the dependent variable is 43 and then as the independent variable increases by 1, the dependent variable decreases by 11 and so the slope is -11 and the y-intercept is 43.