Exam 3: When Lines Meet: Linear Systems

Use the appropriate Tax Rate Schedule below to answer the questions. Schedule Z-A - Use if your filing status is married filing jointly Schedule Z-B - Use if your filing status is single A) Find the taxed owed by someone whose filing status is single and whose taxable income is $48,000. B) Find how much more or less this taxpayer would pay with a flat tax of 20%. If less enter your answer as negative.Round answers to 2 decimal places.

On the grid provided, graph and shade in the areas described by the linear inequality:

Estimate the solution of the system of equations pictured.

Solve the system. If the system is either inconsistent or dependent, enter either inconsistent or dependent.

Solve the system.

Determine the number of solutions of the system.

Solve the system by elimination.

Solve the system by substitution.

A company produces a product that sells for $ 22, giving them a revenue of when x units are produced and sold. They have fixed costs of $ 364 and variable costs of $ 18 per unit. A) Find a formula for their total cost, C, as a function of the number of units produced and sold, x. B) Find their breakeven point.

Determine whether is a solution to the following system.

Create a piecewise function to describe the following graph.

A homeowner wishes to have a ramp built to the door of her house. If the ground slopes up at a rate of 1 foot of rise for every 12 feet of run, and the ramp is to slope down at a rate of 1 foot of drop for every 15 feet of run, how far away from the house does the ramp need to start in order to reach a door that is 4.5 feet from the ground?

Choose the graph that best fits the function.

On the grid provided, graph and shade in the areas described by the linear inequality: y > -3

Estimate the solutions of the system of equations pictured.

Determine whether is a solution to the following system.

Solve the system by substitution.

Franklin Meadows is considering opening a lumber business. He estimates that his total expenses will be represented by the formula M_expenses = 17.1 + 3.8x and that his total sales will be estimated by the formula M_sales = 11.4x - 28.5. (Where x is the number of years the business has been operating and M is in $1,000s.) How many years will it take for Franklin's sales to equal his expenses?

Matwirth wants to invest a total of $30,000 into two investments. The first investment pays 3% interest, and the second investment pays 4.5% interest. If after 1 years, he wants the total interest from both investments to be $1,185, how much should he invest in each account?

Determine whether is a solution to the following system.