Itcosts$32 per dayto rent a medium-sized car,plus $0.25 for each mile driven over 150 miles. The equation that represents this situation is y= 0.25x+ 32, whereyrepresents the total cost of renting a car, andxrepresents the number of miles driven over 150 miles.
Look at the graph ofy= 0.25x+ 32 that is shown above and answer the related questions.
1. Which variable in the equation is the independent variable and what represents the independent variable in this situation?
2. Which variable in the equation is the dependent variable and what represents the dependent variable in this situation?
3. What is the slope and what does the slope represent in this situation?
4. What is the y-intercept and what does the y-intercept represent in this situation?
5. If you were to drive 50 miles over the allotted 150 miles, how much extra will you have to pay when you turn in the car?
1. Which variable in the equation is the independent variable and what represents the independent variable in this situation?
2. Which variable in the equation is the dependent variable and what represents the dependent variable in this situation?
3. What is the slope and what does the slope represent in this situation?
4. What does the point (0, 0.33) represent in this situation?
5. Write an equation that represents this situation, where y represents the cost in the dollars, and x represents the weight in ounces.
6. If the package mailed cost $24, how many ounces did the package weigh?
A car being used for a trip to the Geyser starts with a full tank of 15 gallons of gasoline. The car uses .04 gallons of gas per mile.
Look at the graph that is shown below and answer the related questions.
1. Which variable in the equation is the independent variable and what represents the independent variable in this situation?
2. Which variable in the equation is the dependent variable and what represents the dependent variable in this situation?
3. What is the slope and what does the slope represent in this situation?
4. What is the y-intercept and what does the y-intercept represent in this situation?
5. Write an equation that represents this situation, where y represents the gasoline in the gas tank, and x represents the miles used per gallon of gasoline.
6. Why is the graph sloping downward?
7. If you need to drive 250 miles, how much gas will be left?
You and your friends plan to attend the annual county fair this weekend. The entry fee for thecarnival is $5.00, and the cost per ticket is $0.50.
1. Complete the above table.
2. Write a linear equation in which y represents the total cost, and xrepresents the numberof rides selected.
3. Identify the slope and y-intercept in the equation, and explain what each of themrepresents in the context of the problem.
slope (m) =
y-intercept =
4. Sketch the graph of the linear equation.
You and your brother decide to go boating while your family is visiting Deep Creek Lake. Thepark rangers require a $25.00 deposit to rent a canoe, and a rental fee of $6.50 per hour.
1. Write a linear equation in which y represents the total cost of renting a canoe and x represents the number of hours spent on the canoe.
2. Identify the slope and y-intercept in the equation, and explain what each of them represents within the context of the problem.
Slope (m) =
y-intercept (b) =
3. Graph the linear equation, on the coordinate grid.
4. Find the cost of renting a canoe from 12:30 to 3:30 p.m., provided that the canoe is returned in the same condition in which you received it.
Cost:
Use mathematics to explain how you got your answer. Use words, symbols, or both.
Your parents have decided to buy an SUVfor $25,635 and they have promised that the SUV will be yours when the car is worth $10,000. According to the car dealer, the SUV will depreciate in value approximately $3,000 per year.
1. Write a linear equation in which y represents the total value of the car and x representsthe age of the car.
2. Identify the slope and y-intercept in the equation and explain what each of them
represents within the context of the problem.
m =
b =
3. Graph the linear line below on the coordinate grid.
4. a. Based on the information above, will the SUVbe yours on your sixteenth birthday if your parents bought it when you were twelve years old?
b.If not, how old you will be when the SUV is finally yours?
Explain your answer by using mathematics. Use words, symbols, or both.
1. Which variable in the equation is the independent variable and what represents the independent variable in this situation?
2. Which variable in the equation is the dependent variable and what represents the dependent variable in this situation?
3. What is the slope and what does the slope represent in this situation?
4. What does the point (0, 300) represent in this situation?
5. Write an equation that represents this situation, where y represents the cost in the dollars, and x represents the number of months.
6) If John continues saving for 2½ years, how much will he have saved?
7) How long will it take for John to have $2500?
1. Which variable in the equation is the independent variable and what represents the independent variable in this situation?
2. Which variable in the equation is the dependent variable and what represents the dependent variable in this situation?
3. What is the slope and what does the slope represent in this situation?
4. What does the point (0, 1080) represent in this situation?
5. Write an equation that represents this situation, where y represents the cost in the dollars, and x represents the number of months.
6) Why is the slope going down?
7) How long will it take for loan to be paid off?
Write an equation that models the graph. Create a word problem that can be modeled by the graph. Fill in the important information on the graph. Explain what the slope and y-intercept represent.
Write an equation that models the graph.Create a word problem that can be modeled by the graph. Fill in the important information on the graph. Explain what the slope and y-intercept represent.