Determining the Initial Value of a Linear Function

This video tutorial explains how to determine the initial value of a linear function by interpreting four representations: numeric, algebraic, graphic, and situational. Examples include an ice cream pricing scenario, a pool emptying situation, and a bicycle purchase. The initial value, also known as the Y-intercept, is the constant term in a linear equation, representing the dependent variable's value when the independent variable is zero.

In the ice cream cup example, what is the initial cost before adding any toppings?

• $0.50

• $2.00

• $3.00

• $1.50

In the pool emptying example, what is the initial amount of water in the pool?

• 1400 gallons

• 0 gallons

• 350 gallons

• 700 gallons

How does the pool's water level change over time?

• Decreases by 350 gallons per hour

• Increases by 700 gallons per hour

• Increases by 350 gallons per hour

• Remains constant

In the bicycle purchase example, what is the initial value of William's earnings?

• $60

• $0

• $6

• -$60

What does the $6 per hour represent in the bicycle example?

• The rate of earning

• The cost of the bicycle

• The initial value

• The total earnings