Understanding Slope & Intercepts in Real-Life Scenarios

1. A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Create a slope-intercept table for the cost of renting the car based on miles driven. What is the slope and y-intercept?

• Slope: 0.20, Y-intercept: 15

• Slope: 0.10, Y-intercept: 25

• Slope: 0.25, Y-intercept: 30

• Slope: 0.15, Y-intercept: 20

2. If the cost of renting the car is represented by the equation y = 0.15x + 20, how much would it cost to drive 100 miles?

• 35

• 40

• 25

• 50

3. A gardener is planting flowers in a straight line. The number of flowers planted (y) increases by 5 for every hour worked (x). Write the equation in slope-intercept form and identify the slope and y-intercept.

• y = 5x + 0; slope = 5, y-intercept = 0

• y = 5x - 5; slope = 5, y-intercept = -5

• y = 3x + 2; slope = 3, y-intercept = 2

• y = 10x + 1; slope = 10, y-intercept = 1

4. Using the equation from question 3, graph the linear equation. What does the slope represent in this context?

• The slope represents the average of all data points in the graph.

• The slope indicates the total value of the dependent variable.

• The slope shows the maximum value of the independent variable.

• The slope represents the rate of change of the dependent variable per unit change in the independent variable.

5. A phone plan charges a monthly fee of $30 plus $10 for each additional gigabyte of data used. Create a slope-intercept table for the total cost based on data usage. What is the slope and y-intercept?

• Slope: 30, Y-intercept: 10

• Slope: 10, Y-intercept: 50

• Slope: 10, Y-intercept: 30

• Slope: 5, Y-intercept: 30

6. If the total cost is represented by the equation y = 10x + 30, how much would a customer pay if they used 5 gigabytes of data?

• 80

• 100

• 50

• 60

7. A store sells notebooks for $2 each and charges a $5 service fee. Write the equation for the total cost (y) in terms of the number of notebooks (x) and identify the slope and y-intercept.

• y = 3x + 5; slope = 3, y-intercept = 5

• y = 5x + 2; slope = 5, y-intercept = 2

• y = 2x + 10; slope = 2, y-intercept = 10

• y = 2x + 5; slope = 2, y-intercept = 5

8. Graph the equation from question 7. What does the y-intercept represent in this scenario?

• The y-intercept represents the change in x when y is zero.

• The y-intercept shows the maximum value of y.

• The y-intercept indicates the slope of the line.

• The y-intercept represents the initial value of y when x is zero.

9. A delivery service charges a base fee of $15 plus $2 per mile. Create a slope-intercept table for the cost based on miles driven. What is the slope and y-intercept?

• Slope: 2, Y-intercept: 10

• Slope: 2, Y-intercept: 15

• Slope: 0, Y-intercept: 15

• Slope: 15, Y-intercept: 2

10. If the cost is represented by the equation y = 2x + 15, how much would it cost to deliver a package 10 miles?

• 40

• 25

• 50

• 35