Math 1010

Statistics Unit

2.2 Interpreting Graphs on a Coordinate System

Interpret point A in terms of point B.

The horizontal axis on the graph represents the temperature and the vertical axis represents the cost. Point A is low on the horizontal axis and high on the cost axis. Point B is high on the horizontal axis and low on the cost axis.

A is higher in cost and lower in temperature than B.

Now interpret point B in terms of point A.

B is lower in cost and higher in temperature than A.

Do the same for the following graph:

The horizontal axis on the graph represents wealth and the vertical axis represents thickness. Point A is high on the horizontal axis and low on the cost axis. Point B is low on the horizontal axis and high on the cost axis.

A is thicker and wealthier than B. B is thinner and not as wealthy as A.

The following three graphs provide information about two cars:

Determine if each following statements is true or false.
1. The older car is the slower car. False
2. The larger car has a more comfortable ride. True
3. The car with the better gas mileage costs more. False
4. The faster car gets better gas mileage. True

Place points A and B representing the two cars on the graphs below:

The horizontal axis on the first graph represents age and the vertical axis represents size. The horizontal axis on the second graph represents comfort and the vertical axis represents speed.

Cars A and B are placed on the previous graphs. In the first graph, A is higher and to the left of A. In the second graph, B is higher and to the left of A.

Match points on the coordinate system grid that represents heights and ages of the individuals with sketches of the individuals.

This is a picture of the family members. Their names in order of tallest to shortest are Alice, Errol and Freda. The next in line are Dennis and Brenda. They are the same height, but Dennis is older. Cathy and Gavin round out the list in that order. Gavin is a baby. Cathy is a young girl and Brenda is a little older than Cathy. Freda and Errol are their parents. Alice and Dennis are the grandparents.

The picture is a rectangular coordinate system. The horizontal axis represents height and the vertical axis represents age. The numbers in order from oldest to youngest are 4, 3, 2, 1, 5, 6, 7. The numbers in order from tallest to shortest are 3, 1, 2 4, 5, 6, 7.

1. Errol 2. Freda 3. Alice 4. Dennis 5. Brenda 6. Cathy 7. Gavin

This graph represents a portion of the morning commute to school by one student. Explain what is happening for each section of the graph.

The graph is a rectangular coordinate system. The horizontal axis represents time and the vertical axis represents distance from home. There is a slightly increasing line that goeas from point A to point B. There is a much steeper and longer line that goes from point B to point C. There is a short horizontal line that goes from point C to point D and thee is a short slightly increasing line that goes from point D to point E.

Match the following scenarios with the graphs below. Label the axes.

A. The population of frogs decreased as the pond became more polluted.

Graph b

The horizontal axis represents the amount of pollution in the pond and the vertical axis represents the population of frogs in the pond.

B. The diameter of the cocoon increased rapidly at first, then increased more slowly as the caterpillar prepared to change into a butterfly.

Graph f

The horizontal axis represents time and the vertical axis represents the diameter of the cocoon.

C. The temperature of the oven changed after the oven was turned on.

Graph c

The horizontal axis represents time and the vertical axis represents the temperature of the oven.

D. The length of time it takes to paint the gymnasium changed as the number of people painting increased.

Graph a

The horizontal axis represents the number of people painting the gym and the vertical axis represents the amount of time it takes to paint the gym.

Choose the graph the matches each statement:

A train pulls into a station and lets off its passengers.

There are four graphs to choose from. On each graph, the horizontal axis represents time elapsed and the vertical axis represents speed. The first graph is a horizonatal line that is high on the vertical axis. It has a short vertical line on the right end that is very short and goes down toward the horizontal axis. The second graph is a decreasing line that starts high on the vertical axis and stops when it reaches the horizontal axis. The third graph is curvy. It starts high on the vertical axis, goes up and dips down three times. Each hill is smaller than the previous one. The fourth graph is a horizontal line high on the vertical axis. At the right end of the horizontal line is a vertical line that goes all the way to the horizontal axis.

Graph b

A man takes a ride on a Ferris wheel.

There are four graphs to choose from. On each graph, the horizontal axis represents time elapsed and the vertical axis represents distance from the ground. The first graph is several intersecting loops. The first loop starts high , curves down and back and then up again. The pattern is repeated. The second graph rises in a curve starting at the origin, then dips down, but not all the way to the horizontal axis, rises again and dips down again. The third graph is similar to the second one, but the rises and dips are not all the same size, wheras, they are in the third graph. The fourth graph has one loop similar to the loops in the first graph.

Graph b

A woman climbs a hill at a steady pace and then starts to run down one side.

There are four graphs to choose from. On all four graphs, the horizontal axis represents time elapsed and the vertical axis represents speed. The first graph starts out as a short horizontal line and then becomes an increasing line that is about the same length. The second graph is an upside down V. The third graph starts as a short line that is increasing and then becomes a horizontal line that is a little longer. The fourth graph starts at the orign, rises in a curve, dips down and rises again, infinitely.

Graph a

A child swings on a swing.

There are four graphs to choose from. The first graph is formed with curves. It starts low on the vertical axis, but not all the way on the horizontal axis. It rises and then falls, rises and then falls. Each time it rises, it is a little higher than the previous one. The seond graph is a curve that starts low on the vertical axis, but not on all the way down to the horizontal axis. It increases gradually and infintely. The third graph is in the shape of a concave up parabola with the vertex low on both axes. The fourth graph begins with a very short horizontal line and then dips down in a curve, rises, dips and repeats until it begins to level off after three increasingly smaller dips.

Graph a

A child climbs up a slide and then slides down.

There are four graphs to choose from. The first graph is made up of three line segments. It starts as an increasing line, then becomes a short horizontal line, then it is a decreasing line. The second is like steps rising up, a short horizontal line at the top and then a decreasing line. The third graph starts as a horizontal line high on the vertical axis, dips down in a curve all the way down to the horizontal axis, rises high and then makes an almost vertical dip back down to the horizontal axis. The fourth graph begins as a vertical line that goes straight up the vertical axis. Then it becomes a short horizontal line, then a decreasing line back down to the horizontal axis.

Graph c