Topic Test Answers

Determine any data values that are missing from the table, assuming that the data represent a linear function.xy417619 2110

Solve the problem.The formula A = P + Prt represents the value, A, of an investment of P dollars at a yearly simple interest rate, r, for t years. The equation to model the value, A, of an investment of $54 at 9.26% for t years is given by A = 54 + 5t. The equation to model the value, A, of an investment of $84 at 2.38% for t years is given by A = 84 + 2t. Assuming A has the same value, the given equations form a system of two linear equations. Solve this system using an algebraic approach and interpret your answer.

Solve the problem.If your cost in manufacturing a shipment of clocks consists of a setup expense of $225 plus $11 per clock, and you want your break-even point for a particular shipment to be no greater than 25 clocks, then what is the minimum price that you can charge per clock?

Determine any data values that are missing from the table, assuming that the data represent a linear function.xy-15072

Has the marrying age of a man changed over the years? The United States Bureau of the Census takes a formal count of everyone in the U.S. every 10 years and has provided the following data that gives the median age of an American man at the time of his first marriage.Year1910192019301940195019601970198019902000Median Age25.124.624.324.322.822.823.224.726.126.8Determine the average rate of change in median age per year from 1950 to 1990.

Find the equation of the line specified.The line passes through the points ( 7, -7) and ( 6, -5)

You began membership in a new health and fitness club which has access to a dietician and personal trainer. They help you develop a special eight-week diet and exercise program. The data in the following table represents your weight, w, as a function of time, t, over an eight-week period. Time (weeks) 0 1 2 3 4 5 6 7 8 Weight (lb) 150 144 143 141 140 137 137 132 129 During which time period is the average rate of change zero?

Choose the best graph that represents the linear equation: -x = 2y + 1 Graph A Graph B Graph C Graph D

Determine the x- and y- intercepts for the graph defined by the given equation.y = x + 8

Find the equation of the graphed line. a. c. b. d. Please select the best answer from the choices provided

Determine the x- and y- intercepts for the graph defined by the given equation.x = -9

Solve the system by substitution. Check your solution.

Solve the system of equations.y = 6x - 27y = 4x - 17

Julio has started his very own floral business. He sells centerpieces for $19.50 each. His fixed costs are $500 per month, and each centerpiece cost $8 to produce. Let n represent the number of centerpieces you sell. Write an equation to determine the cost, C. Write another equation to determine the revenue, R. a. b. c. d. Please select the best answer from the choices provided

A car is traveling on a highway. The distance (in miles) from its destination and the time (in hours) is given by the equation . What is the d-intercept of the line? (Remember the slope-intercept form is )

Solve the system of equations.y = 7x - 9y = 7x + 7

Several students have a really great business plan and decide to start a graphic T-shirt company. After initial expenses of $280, they will purchase each T-shirt wholesale for $3.99. They will then sell the each shirt for $10.99. How many must they sell to break even?

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) 0 12 2 10 4 8 6 6 8 4 10 2 If you were to graph this information, the resulting line would represent a linear function. Using this information from the table and the information on your graph, by how much does the altitude of the plane change for each three-minute change in time during the descent.

Sarah is the president of the drama club and wants to publish a newspaper. Expenses are $.90 for printing and mailing each copy, plus $600 total for research and writing. The price of the newsletter is $1.50 per copy. How many copies of the newsletter must the club sell to break even?

Solve the system of equations.y = 7x + 43y = 2x + 13