Unit 4/5 : Writing Linear Equations from Word Problems
Name: ______
Date: ______Class: ______
For each problem below, answer all questions.
EX. You are visiting Baltimore, MD and a taxi company charges a flat fee of $3.00 for using the taxi and $0.75 per mile. Write an equation that you could use to find the cost of the taxi ride in Baltimore, MD.
Define the variables: Write an equation in S-I form:
x = ______
y = ______
What is the slope? ______What does it represent?______
What is the y-int: ______What does it represent? ______
1. A plumber charges $50 to make a house call. He also charges $25.00 per hour for labor. Write an equation that you could use to find the amount a plumber charges for a house call based on the number of hours of labor.
Define the variables: Write an equation in S-I form:
x = ______
y = ______
What is the slope? ______What does it represent?______
What is the y-int: ______What does it represent? ______
2. Mrs. Conte tutors math. She charges $50 an hour and an additional $25 for a review workbook.
Define the variables: Write an equation in S-I form:
x = ______
y = ______
What is the slope? ______What does it represent?______
What is the y-int: ______What does it represent? ______
3. An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. Assume the plane continues at the same rate of descent. The plane’s height and minutes above the ground are related to each other. Write an equation to model the situation.
Define the variables: Write an equation in S-I form:
x = ______
y = ______
What is the slope? ______What does it represent?______
What is the y-int: ______What does it represent? ______
4. We are throwing an end of the year party for 8th grade. It costs $250 for the bouncy obstacle course and then $5 per student for food. Write an equation showing the total cost for the party.
Define the variables: Write an equation in S-I form:
x = ______
y = ______
What is the slope? ______What does it represent?______
What is the y-int: ______What does it represent? ______
5. Mrs. Conte can make 45 cookies in 2 hours. If we were to graph this, what would be the slope of the line? ______What would this slope represent? ______
6. Mrs. Stout can walk 5 miles in 3 hours. If we were to graph this, what would be the slope of the line? ______What would this slope represent? ______