Chapter 5

Use the data on bottled water consumption per person. $$ \begin{array}{|c|c|}\hline \text { Year } & \text { Water(in gallons) } \\\\\hline 1980 & 2.4 \\\\\hline 1985 & 4.5 \\\\\hline 1990 & 8.0 \\\\\hline 1995 & 11.6 \\\\\hline\end{array} $$ Use your model to estimate the consumption of bottled water in the given year. Tell whether you use linear interpolation or linear extrapolation. $$ 1979 $$

Write an equation of the line in point-slope form that passes through the given point and has the given slope. $$ (-2,-9), m=4 $$

Write an equation in slope-intercept form of the line that passes through the points. $$ (3,-2),(-6,4) $$

Suppose that bike rentals cost \(\$ 4\) plus \(\$ 1.50\) per hour. Graph the equation. Label the \(y\) -intercept

Write an equation of the line that is parallel to the given line and passes through the point. $$y=-3 x-3,(-4,-3)$$

Write an equation in standard form of the line that passes through the given point and has the given slope. $$(1,-2), m=5$$

Write an equation of the line in point-slope form that passes through the given point and has the given slope. $$ (7,-7), m=-8 $$

Write an equation in slope-intercept form of the line that passes through the points. $$ (-4,3),(-1,-7) $$

Suppose that bike rentals cost \(\$ 4\) plus \(\$ 1.50\) per hour. Use the equation to find the cost of renting a bike for 12 hours.

BANKING Christina has her savings in a bank account. She withdraws \(\$ 8.25\) per week from her account. After 10 weeks, the balance is \(\$ 534 .\) Write an equation that models the balance \(y\) of Christina's account in terms of the number of weeks \(x .\) Do not consider any interest earned by the account.

Write an equation in standard form of the line that passes through the given point and has the given slope. $$(2,5), m=3$$

Write an equation of the line that passes through the given points. $$ (5,12),(6,-2) $$

Write an equation in slope-intercept form of the line that passes through the points. $$ (-2,5),(-6,-8) $$

Write an equation of the line in slope-intercept form. The slope is \(3 ;\) the \(y\) -intercept is \(-2\)

Write an equation in standard form of the line that passes through the given point and has the given slope. $$(5,-8), m=-1$$

Write an equation of the line that passes through the given points. $$ (-4,-1),(-9,2) $$

Draw a scatter plot of the data. Draw a line that corresponds closely to the data and write an equation of the line. $$ \begin{array}{|c|c|} \hline x & y \\ \hline 1.0 & 3.8 \\ \hline 1.5 & 4.2 \\ \hline 1.7 & 5.3 \\ \hline 2.0 & 5.8 \\ \hline 2.0 & 5.5 \\ \hline 1.5 & 6.7 \\ \hline \end{array} $$

Write an equation in slope-intercept form of the line that passes through the points. $$ (-8,-4),(4,2) $$

Write an equation of the line in slope-intercept form. The slope is \(1 ;\) the \(y\) -intercept is 2

Write an equation in standard form of the line that passes through the given point and has the given slope. $$(-5,-6), m=3$$

Write an equation of the line that passes through the given points. $$ (-17,-8),(-7,-4) $$

Draw a scatter plot of the data. Draw a line that corresponds closely to the data and write an equation of the line. $$ \begin{array}{|c|c|} \hline x & y \\ \hline 3.0 & 7.1 \\ \hline 3.4 & 8.1 \\ \hline 4.0 & 8.5 \\ \hline 4.1 & 8.9 \\ \hline 4.8 & 9.6 \\ \hline 5.2 & 9.8 \\ \hline \end{array} $$

Write an equation in slope-intercept form of the line that passes through the points. $$ (-1,-3),(-8,-9) $$

Write an equation of the line in slope-intercept form. The slope is \(0 ;\) the \(y\) -intercept is 4

Write an equation in standard form of the line that passes through the given point and has the given slope. $$(4,-3), m=-2$$

Write an equation of the line that passes through the given points. $$ (2,12),(7,2) $$

Draw a scatter plot of the data. Draw a line that corresponds closely to the data and write an equation of the line. $$ \begin{array}{|c|c|} \hline x & y \\ \hline 3.0 & 9.9 \\ \hline 3.5 & 9.7 \\ \hline 3.7 & 8.6 \\ \hline 4.0 & 8.1 \\ \hline 4.0 & 8.4 \\ \hline 4.5 & 7.4 \\ \hline \end{array} $$

Write an equation in slope-intercept form of the line that passes through the points. $$ (5,3),(4,-3) $$

Write an equation of the line in slope-intercept form. The slope is \(2 ;\) the \(y\) -intercept is \(-1\)

Write an equation of the line that passes through the given points. $$ (3,-12),(8,4) $$

Draw a scatter plot of the data. Draw a line that corresponds closely to the data and write an equation of the line. $$ \begin{array}{|c|c|} \hline x & y \\ \hline 5.0 & 6.8 \\ \hline 5.4 & 5.8 \\ \hline 6.0 & 5.6 \\ \hline 6.1 & 5.2 \\ \hline 6.8 & 4.3 \\ \hline 7.2 & 3.5 \\ \hline \end{array} $$

Write an equation in slope-intercept form of the line that passes through the points. $$ (6,-10),(-3,-8) $$

Write an equation of the line in slope-intercept form. The slope is \(\frac{3}{2} ;\) the \(y\) -intercept is 3

Use the table which shows the number of movie theater screens (in thousands) from 1975 to 1995. $$ \begin{array}{|l|c|c|c|c|c|}\hline \text { Year } & 1975 & 1980 & 1985 & 1990 & 1995 \\\\\hline \text { Indoor screens (in thousands) } & 11 & 14 & 18 & 23 & 27 \\\\\hline \text { Drive-in screens (in thousands) } & 4 & 4 & 3 & 1 & 1 \\\\\hline\end{array} $$ Make a scatter plot of the number of indoor movie screens in terms of the year \(t .\) Let \(t\) represent the number of years since 1975.

Write an equation of the line that passes through the given points. $$ (-4,-7),(2,2) $$

Write an equation in slope-intercept form of the line that passes through the points. $$ (12,2),(7,2) $$

Write an equation of the line in slope-intercept form. The slope is \(-\frac{1}{4} ;\) the \(y\) -intercept is 1

Write the equation in standard form with integer coefficients. $$4 x-y-7=0$$

Use the table which shows the number of movie theater screens (in thousands) from 1975 to 1995. $$ \begin{array}{|l|c|c|c|c|c|}\hline \text { Year } & 1975 & 1980 & 1985 & 1990 & 1995 \\\\\hline \text { Indoor screens (in thousands) } & 11 & 14 & 18 & 23 & 27 \\\\\hline \text { Drive-in screens (in thousands) } & 4 & 4 & 3 & 1 & 1 \\\\\hline\end{array} $$ Make a scatter plot of the number of drive-in movie screens in terms of the year \(t .\) Let \(t\) represent the number of years since 1975.

Write an equation of the line in slope-intercept form. The slope is \(-6 ;\) the \(y\) -intercept is \(\frac{3}{4}\)

Write an equation of the line that passes through the point and has the given slope. Write the equation in slope-intercept form. $$(2,5), m=\frac{1}{2}$$

Write the equation in standard form with integer coefficients. $$x+3 y-4=0$$

Use the table which shows the number of movie theater screens (in thousands) from 1975 to 1995. $$ \begin{array}{|l|c|c|c|c|c|}\hline \text { Year } & 1975 & 1980 & 1985 & 1990 & 1995 \\\\\hline \text { Indoor screens (in thousands) } & 11 & 14 & 18 & 23 & 27 \\\\\hline \text { Drive-in screens (in thousands) } & 4 & 4 & 3 & 1 & 1 \\\\\hline\end{array} $$ Which data are better modeled with a linear model?

Write an equation of the line in slope-intercept form. The slope is \(-3 ;\) the \(y\) -intercept is \(-\frac{1}{2}\)

Write an equation of the line that passes through the point and has the given slope. Write the equation in slope-intercept form. $$(-3,2), m=\frac{1}{3}$$

Write the equation in standard form with integer coefficients. $$-4 x+5 y+16=0$$

Write an equation of the line that passes through the point and has the given slope. Write the equation in slope-intercept form. $$(0,2), m=3$$

Write the equation in standard form with integer coefficients. $$2 x-3 y-14=0$$

Write an equation in point-slope form of the line that passes through the given points. $$ (1,5),(-1,-5) $$

Graph the points and draw a line through them. Write an equation in slope- intercept form of the line that passes through the points. $$ (-1,-2),(2,6) $$