The chart given below shows toll data for the Indiana Toll Road.

a Make a graph showing the relationship between distance and cost, using Gary as a starting point.

b Are these data approximately linearly related?

c What is the cost per mile?

d Write an equation relating cost to miles driven.

e A new exit is being constructed at mile marker 122. What toll should be charged at that exit?

$$\begin{array}{lcc}\text { Exit } & \text { Mile Marker } & \text { Cost } \\ \text { Gary (Westport) } & 0 & - \\ \text { Portage } & 9 & 0.30 \\ \text { Valparaiso } & 19 & 0.65 \\ \text { Michigan City } & 27 & 0.95 \\ \text { La Porte } & 37 & 1.30 \\ \text { Mishawaka } & 64 & 2.25 \\ \text { Elkhart } & 80 & 2.80 \\ \text { Middlebury } & 95 & 3.80 \\ \text { Howe } & 108 & 3.80 \\ \text { Fremont } & 132 & 4.65 \\ \text { Eastport } & 157 & 5.50\end{array}$$

Find x and y if the perimeter of rectangle A whose sides are y and (3x+4) is 26 units and the perimeter of rectangle B whose sides are 3y and 2x is 24 units.

If four points are chosen at random from the following six points A(-1, 4), B(3, 8), C(4, 7), D(0, 3), Y(1, 6), P(2, 5) , what is the probability that they are the vertices of a rectangle?

Sketch each of the described lines.

a Passes through the origin and is parallel to the graph of y = 3x - 2

b Passes through (5, - 1) and is perpendicular to the graph of y = $\frac{2}{3}$x + 4

c Has an x-intercept that is 4 greater than its y-intercept, with the sum of the intercepts being 14

In the following problem, solve the given system of equations.

5n + 10d = 320

10n + 5d = 535

In the problem given below, solve for w.

| w + 10 | = 17

Which elements of {(4, 3), (-3, 4), (0, 10/3), (5, 0), (0, -5)} are solutions of the following system?

$x^2 + y^2$ = 25

$2x + 3y$ = 10

Bolivian coffee sells for $4.59 per pound, and Colombian coffee sells for$5.95 per pound. How many pounds of each coffee should be mixed to produce 4000 pounds of a mixture that will sell for $5.10 per pound?

A two-egg breakfast with hash browns and toast costs $1.85. A one-egg breakfast with hash browns and toast is$1.35. How much is charged for hash browns and toast?

In the following problem, graph the given equation.

y + 2 = -3(x - 3)

If Amy can type 6$\frac{1}{4}$ pages in 1$\frac{1}{4}$ hours, how many pages can she type in three and a half hours?

Let A = {(x, y): y < 2x + 3} and B = {(x, y): y < 4x + 3}. Sketch the graph of A intersection B.

Draw the line represented by each of the following descriptions.

a y = $\frac{3}{2}$x - 2

b Slope -$\frac{3}{4}$, contains the point (1, -1)

Write an equation of the line containing the points (- 4 .2, 12) and (9.9, 4).