Cumulative Exam — Cumulative exam Answers

The value of almost everything you own (assets), such as a car, computer, or house, depreciates (goes down) over time. When an asset’s value decreases by a fixed amount each year, the depreciation is called straight-line depreciation. Suppose your truck has an initial value of $12,400 and depreciates $820 per year. Independent variable 1 2 3 4 5 Dependent variable 11,580 10,760 9,940 9,120 8,300 Write a statement using v as the dependent variable and t as the independent variable. Then translate the statement into an equation.

Amy made a circle graph of the U.S. population for 2000. This is the data that she used and the graph that she made. U.S. Population (2000) U.S. Population (2000) Category Population Males 138,053,563 Females 143,368,343 White 211,460,626 Black 34,658,190 Asian 10,242,998 Source: www.factmonster.com Do you think this is an accurate display of the U.S. population? Why or why not?

David, Ping, Mandy, and Alan are each studying one of the animals shown in the table for a science project.Animal Study ProjectAnimalSpeedTypeHabitatElephant25 mph (running)MammalGrasslandsSailfish68 mph (swimming)FishOceansGiraffe32 mph (running)MammalGrasslandsDolphin30 mph (swimming)MammalOceansSource: www.worldalmanacforkids.comDavid is studying a mammal, but Ping is not. The animal that Mandy is studying can be found in the ocean. The animal that Alan is studying is slower than the animal that David is studying.Which animal is David studying?

An ice skating arena charges an admission fee for each child plus a rental fee for each pair of ice skates. John paid the admission fees for his six nephews and rented five pairs of ice skates. He was charged $32.00. Juanita paid the admission fees for her seven grandchildren and rented five pairs of ice skates. She was charged $35.25. What is the admission fee? What is the rental fee for a pair of skates?

Make a scatter plot of the data below. x y 25 150 50 178 75 216 100 265 125 323 150 392 175 470.4 Use the quadratic regression feature of a graphing calculator to find a quadratic model. Round to the nearest thousdandths place. a. b. c. d. Please select the best answer from the choices provided

The results of an analysis, on the makeup of garbage, done by the Environmental Protection Agency was published in 1990. Some of the results are given in the following table, which for various years gives the number of pounds per person per day of various types of waste materials. Waste materials1960197019801988Glass0.200.340.360.28Plastics 0.010.080.190.32Metals 0.320.380.350.34Paper0.911.191.321.60For metal, calculate the average rate of change between 1980 and 1988. Then interpret what this value means.

Solve the quadratic equation by using either a numeric or a graphic approach.

While on a trip, you notice that the video screen on the airplane, in addition to showing movies and news, records your altitude (in kilometers) above the ground. As the plane starts its descent (at time x = 0), you record the following data:Time, x (min.)Altitude, y (km)012210486684102If you were to graph these points on a graph, you would notice that the line that forms represents a linear function. What is the practical meaning of slope in this situation?

Solve the following inequality using the algebraic approach: a. b. c. d. Please select the best answer from the choices provided

The weights, in pounds, of a group of students are as follows: 173 123 171 175 188 120 177 160 151 169 162 128 145 140 158 132 202 162 154 180 164 166 157 171 175 Find the five-number summary for the data. Which boxplot best represents the data? a. b. c. d. Please select the best answer from the choices provided

Complete the following table using the equation: x -3 -1 0 1 3 y Plot the points on a graph and determine which graph best represents the equation. Graph A Graph B

Solve the quadratic equation by using either a numeric or a graphic approach.

Dave receives a salary of $200 a week plus a commission of 10% of his weekly sales. An equation represents Dave’s weekly earnings. The y-intercept is Dave’s base salary. The slope of the line is his commission. Write an equation representing Dave’s weekly earnings. a. b. c. d. Please select the best answer from the choices provided

Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range.

The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hour while hiking. Write an equation that represents this function, letting t represent the independent variable, let h represent the function, and h(t) the dependent variable. Evaluate h(7) and write a sentence describing its meaning. Write the result as an ordered pair.

The school taxes on a house assessed at $210,000 are $2340. At the same tax rate, what are the taxes (to the nearest dollar) on a house assessed at $275,000?

The Air Quality Index, or AQI, measures how polluted the air is in your city and assigns a number based on the quality of the air. Over 100 is "Unhealthy". The following quadratic regression equation, models the AQI over time, where n represents the number of days the AQI exceeded 100, and t represents the number of years since 1990. Estimate the number of days the AQI exceeded 100 in the year 2002. Round to the nearest whole day. (Hint: t = 0 corresponds to the year 1990.)

Find the vertex of the parabola.

In 1990, the rate of change of the world population was approximately 0.09125 billion per year (or approximately 1 million people every four days). The world population was estimated to be 5.3 billion in 1990.Use the linear model to predict the world population in 2025.