MATH SOLVE

4 months ago

Q:
# Graph the function by the table. Is the function linear or nonlinear?A. Nonlinear B. Linear

Accepted Solution

A:

Answer:Option A - Non-linear Step-by-step explanation:Given : Graph the function by the table.x y 1 12.32 19.63 26.64 34.25 41.5To find : Is the function linear or nonlinear?
Solution : The function is linear when there slopes are equal.So, we find the slope of the points.[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Taking point, [tex](x_1,y_1)=(1,12.3)[/tex] and [tex](x_2,y_2)=(2,19.6)[/tex][tex]m=\frac{19.6-12.3}{2-1}[/tex][tex]m=\frac{7.3}{1}[/tex][tex]m=7.3[/tex]Taking point, [tex](x_1,y_1)=(2,19.6)[/tex] and [tex](x_2,y_2)=(3,26.6)[/tex][tex]m=\frac{26.6-19.6}{3-2}[/tex][tex]m=\frac{7}{1}[/tex][tex]m=7[/tex]We have seen that slope between points are not equal.Therefore, The given points are non-linear.So, Option A is correct.