Linear Functions in Real Life

How many pounds of weight do you expect a person to lose for exercising for 40 hours?

• 100.98 pounds

• 121.57 pounds

• 111.24 pounds

• 99.57 pounds

The table models a linear relationship. What is the rate of change in depth with respect to the hours passing?

• 8

• 6

• 1/6

• 14

What is the rate of change in the table?

• 3

• 2

• 2/3

• 3/2

Which table contains only coordinates of points that appear on the line?

• 
• 
• 
• 

A car rental company charges a flat fee of $50 plus $20 per day for renting a car. Write a linear equation to represent the total cost (y) in terms of the number of days (x) the car is rented.

• y = 50x + 20

• y = 50x - 20

• y = 20x - 50

• y = 20x + 50

A phone company charges a monthly fee of $30 and $0.10 per minute for calls. Write a linear equation to represent the total cost (y) in terms of the number of minutes (x) used.

• y = 30x + 0.10

• y = 30 + 0.10x

• y = 0.10x - 30

• y = 30 - 0.10x

How can linear equations be used to model real-life situations?

• Linear equations are too simplistic to accurately model the complexities of real-life situations.

• Linear equations can only be used for theoretical calculations and not for real-life situations.

• Linear equations are only applicable to abstract mathematical problems and not to real-life scenarios.

• Linear equations can be used to model real-life situations by representing relationships between two variables that have a constant rate of change.

What is the slope of the line with the equation y = 3x + 2?

• 5

• 1

• 4

• 3

Find the y-intercept of the line with the equation y = -2x + 5.

• 0

• 3

• -2

• 5

Explain the significance of the slope in a linear equation.

• The slope in a linear equation has no significance

• The slope in a linear equation represents the y-intercept

• The slope in a linear equation is always equal to 1

• The significance of the slope in a linear equation is that it indicates how much the dependent variable (y) changes for a unit change in the independent variable (x).