91Ó°ÊÓ

For the following exercises, determine whether the equation of the curve can be written as a linear function. $$ 3 x+5 y^{2}=15 $$

For the following exercises, determine whether the equation of the curve can be written as a linear function. $$ -2 x^{2}+3 y^{2}=6 $$

For the following exercises, consider this scenario: A town hal population of \(75,000 .\) It grows at a constant rate of \(2,500\) per year for 5 years. Find a reasonable domain and range for the function \(P\)

For the following exercises, consider this scenario The weight of a newborn is 7.5 pounds. The baby gained one-half pound a month for its first year. Find the linear function that models the baby's weight \(W\) as a function of the age of the baby, in months, \(,\) t.

In \(2004,\) a school population was \(1001 .\) By 2008 the population had grown to \(1697 .\) Assume the population is changing linearly. a. How much did the population grow between the year 2004 and 2008\(?\) b. How long did it take the population to grow from 1001 students to 1697 students? c. What is the average population growth per year? d. What was the population in the year 2000 ? e. Find an equation for the population, \(P\) , of the school t years after 2000 . f. Using your equation, predict the population of the school in 2011.

In 2003, the owl population in a park was measured to be 340. By 2007, the population was measured again to be 285. The population changes linearly. Let the input be years since 1990. a. Find a formula for the owl population, P. Let the input be years since 2003 . b. What does your model predict the owl population to be in 2012\(?\)

For the following exercises, consider the data in Table 2.18, which shows the percent of unemployed in a city of people 25 years or older who are college graduates is given below, by year. $$\begin{array}{|c|c|c|c|c|c|}\hline \text { Year } & {2000} & {2002} & {2005} & {2007} & {2010} \\ \hline \text { Percent Graduates } & {6.5} & {7.0} & {7.4} & {8.2} & {9.0} \\ \hline\end{array}$$ Determine whether the trend appears to be linear. If so, and assuming the trend continues, find a linear regression model to predict the percent of unemployed in a given year to three decimal places

Determine whether the following algebraic equation can be written as a linear function. \(2 x+3 y=7\)

Does Table 2.22 represent a linear function? If so, find a linear equation that models the data. $$\begin{array}{|c|c|c|c|c|}\hline x & {1} & {3} & {7} & {11} \\ \hline g(x) & {4} & {9} & {19} & {12} \\ \hline\end{array}$$