Use the table to answer the question

To find the equation of the linear function, we need to determine the slope (m) and the y-intercept (b).

To find the slope (m), we use the formula: m = (change in y)/(change in x).
Change in y = 43 - 16 = 27
Change in x = 15 - 6 = 9

m = 27/9 = 3

To find the y-intercept (b), we can substitute one of the given points (6, 16) into the equation y = mx + b and solve for b:

16 = 3(6) + b
16 = 18 + b
b = 16 - 18
b = -2

Therefore, the equation of the linear function that models the relationship shown in the table is y = 3x - 2.