Exam 3: When Lines Meet: Linear Systems

Solve the system of equations. Express the answers in decimal form if necessary. 2.1x + 3.1y = 8.2 4x - 2.7y = -18.8

From the graph shown, identify where y1 < y2. Give your answer in interval form.

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

The Wisconsin Agricultural Extension office publishes recommendations for farmers. A recent publication stated that dairy cows should be fed corn (C) according to their production (P) of milk, with the minimum amount of corn being given by the equation C_min = 0.33P + 5 and the maximum amount of corn being C_max = 0.39P + 7. According to this recommendation, what would be the maximum amount of corn that should be fed to a cow that is producing 67 pounds of milk?

Solve the system by elimination.

Solve the system by graphing.

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 married filing jointly and whose taxable income is $203,500. B) Find how much more or less this taxpayer would pay with a flat tax of 18%. If the 18% flat tax is less enter your answer as negative.Round answers to 2 decimal places.

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

Create a piecewise function to describe the following graph.

Create an inequality to describe the shaded region.

Solve this system of equations by sketching the graphs and estimating the solution. 5x + y = -8 3x - 4y = 9

Select an inequality to describe the shaded region.

Determine whether is a solution to the following system.

Solve the system of equations by substitution. y = 3x + 2z - 7 x = -4y 4 -5 = 2x + 2y - z

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

A company assumes a linear relationship exists between the consumer demand for its product and the price charged, p. When the price of its product was $4 per unit, the weekly quantity demanded was 302 units, and when the unit price was raised to $5, the weekly quantity demanded dropped to 296 units. A) Write a formula for D, the weekly quantity demanded for the product when the price per unit is p dollars. B) Suppose also that there is a linear relationship between the quantity supplied S of the product and the unit price. p. Suppose that the weekly quantity supplied is 254 when the price is $5 and that the quantity supplied rises by 8.4 units when the price rises by $1.4. Write a formula for S, the weekly quantity supplied when the price of the product is p dollars. C) The market clearing price or equilibrium point is the price at which supply equals demand. Find the market clearing price for the product.

A shopkeeper has two types of coffee beans on hand. One type sells for $3.20 per lb, the other for $6.00 per lb. How many pounds of the $3.20 per lb coffee beans must be used in the mixture to produce 55 lbs of a blend that sells for $3.62 per lb? Round your answer to 2 decimal places.

Solve the system of equations. Express the answers in fraction form if necessary.

Schiel Construction and Excavating charges a destination fee of $150 plus $80 per hour for jobs that take less than 3 hours. For jobs that take 3 or more hours, but less than 8 hours, the destination fee is $125 and the hourly charge is $75. For jobs taking 8 hours or more, the charge is simply $70 per hour. Create a peicewise function to describe the charge for a job.

Victoria has been hired by C&M sales to be an account representative. She has been offered two salary options. Option A has a base pay of $880 per week with a commission of $26 for every thousand dollars in sales. Option B has a base pay of $160 per week with a commission of $42 for every thousand dollars in sales. How many thousands of dollars in sales would Victoria need to reach each week in order for the two options to be equal?