Unit 4 Part 1 Study Guide

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Sketch the graph of the linear inequality below.

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Sketch the graph of the linear inequality below.

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Sketch the graph of the line below.

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Sketch the graph of the line below.

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Sketch the graph of the line below.

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Sketch the graph of the line below.

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Determine which points are a solution to the following inequality. Show how you know.

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You are visiting an amusement park. It costs $3.25 for admission and $1.50 per ride.

Part A. Write an equation that you could use to find the cost to go to the amusement park. Let x represent the number of rides and y represent the total cost.

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Part B. Using your equation above, how much would you pay if you rode 8 rides?

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Part C. If you pay $15, how many rides did you go on?

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Sally is starting a new company. The bottom line on the graph shows the initial projection for the cost, C, to produce x units. The top line shows the actual cost, C, to produce x units.

What is the equation of the line that represents the actual costs, and what do the coefficient of x and the constant represent in terms of the context of the problem?

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Carrie and J.T. both start climbing a cliff at the same time. Carrie climbs up the wall at a constant rate of 12 feet per minute. J.T. climbs up the wall at a constant rate of 10 feet per minute.

Write then graph the equations that represent the heights h that both have climbed, as a function of the time t in minutes since they both started climbing, shown on the same coordinate plane.

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At Congo River Putt Putt, it costs $3 per game, plus a one-time ball rental fee. The graph shows the relationship between the number of games played and the total cost.

What is the equation that represents this situation, and what are the meanings of the constant and coefficient in terms of the context?

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Sketch the graph of the linear inequality below.

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Sketch the graph of the linear inequality below.

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Sketch the graph of the linear inequality below.

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Sketch the graph of the linear inequality below.

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Write an inequality to reprsent the scenerio. Then solve.
Keith has $650 in a savings account at the beginning of the summer. He wants to have at least $250 at the end of the summer. He withdraws $15 per week for food, clothing, and baseball tickets. How many weeks can Keith withdraw money from his account?

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Write an inequality to reprsent the scenerio. Then solve.
Animal Supplies makes a profit of $7.50 per bag on its line of natural cat food. If the store wants to make a profit of no less than $7225, how many bags of cat food does it need to sell?

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Write the slope-intercept form of the equation from the following table.

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Write the slope-intercept form of the equation from the following table.

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What kind of line would y > 2x + 5 have? How do you know?

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How do you know where to shade when graphing inequalities?

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Your checking account showed a balance at the beginning of the month of $290. After 4 days the checking account showed a balance of $195.50. Write a linear equation to represent the total in the checking account according to the day.

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A new store has opened in the area. The store did not have any profit before 2010. In 2010, they made a profit of $425. In 2015, they made a profit of $1500. Write a linear function that represents the amount of profit per year, f(x), where x is the number of years since 2010

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Write the equation in FUNCTION NOTATION for each situation. Identify the rate of change.
To rent a moving truck, a customer must pay $120 plus $0.99 per mile.

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Sketch the graph of the linear inequality below.

Sketch the graph of the linear inequality below.

Sketch the graph of the line below.

Sketch the graph of the line below.

Sketch the graph of the line below.

Sketch the graph of the line below.

Determine which points are a solution to the following inequality. Show how you know.

You are visiting an amusement park. It costs $3.25 for admission and $1.50 per ride.Part A. Write an equation that you could use to find the cost to go to the amusement park. Let x represent the number of rides and y represent the total cost.

Part B. Using your equation above, how much would you pay if you rode 8 rides?

Part C. If you pay $15, how many rides did you go on?

Sketch the graph of the linear inequality below.

Sketch the graph of the linear inequality below.

Sketch the graph of the linear inequality below.

Sketch the graph of the linear inequality below.

Write an inequality to reprsent the scenerio. Then solve.Animal Supplies makes a profit of $7.50 per bag on its line of natural cat food. If the store wants to make a profit of no less than $7225, how many bags of cat food does it need to sell?

Write the slope-intercept form of the equation from the following table.

Write the slope-intercept form of the equation from the following table.

What kind of line would y > 2x + 5 have? How do you know?

How do you know where to shade when graphing inequalities?

Your checking account showed a balance at the beginning of the month of $290. After 4 days the checking account showed a balance of $195.50. Write a linear equation to represent the total in the checking account according to the day.

A new store has opened in the area. The store did not have any profit before 2010. In 2010, they made a profit of $425. In 2015, they made a profit of $1500. Write a linear function that represents the amount of profit per year, f(x), where x is the number of years since 2010

Write the equation in FUNCTION NOTATION for each situation. Identify the rate of change.To rent a moving truck, a customer must pay $120 plus $0.99 per mile.

Write the equation in FUNCTION NOTATION for each situation. Identify the rate of change.Each pair of pants are $25.99 plus $1.50 for shipping.

You are visiting an amusement park. It costs $3.25 for admission and $1.50 per ride.

Part A. Write an equation that you could use to find the cost to go to the amusement park. Let x represent the number of rides and y represent the total cost.

Write an inequality to reprsent the scenerio. Then solve.
Animal Supplies makes a profit of $7.50 per bag on its line of natural cat food. If the store wants to make a profit of no less than $7225, how many bags of cat food does it need to sell?

Write the equation in FUNCTION NOTATION for each situation. Identify the rate of change.
To rent a moving truck, a customer must pay $120 plus $0.99 per mile.

Write the equation in FUNCTION NOTATION for each situation. Identify the rate of change.
Each pair of pants are $25.99 plus $1.50 for shipping.