Chapter R.6, Problem 9E

For the scatter plots and graphs in Exercises 1– 9, determine which, if any, of the following functions might be the best model for the data

Linear, $f\left(x\right)=mx+b$

Quadratic, $f\left(x\right)=a{x}^2+bx+c,a>0$

Quadratic $f\left(x\right)=a{x}^2+bx+c,a<0$

Polynomial, neither quadratic nor linear

Exponential, $f\left(x\right)=a_0\cdot a^x,0<a\text{ or }a>1$ or $a>1$

Cable video customers.

a. For the data shown in Exercise 8, find a linear function that fits the data using the values given for 2006 and 2012. Let x represent the number or years since 2006

b. Use the linear function to estimate the number of cable video customers in 2018.