Interpreting Slope and Y-Intercept in Real-World Contexts

Mrs. Glenn introduces the concept of slope and y-intercept using various real-world examples. She explains how to interpret these in the context of an ice cream sundae cost function, a fair ride cost function, a moving truck rental, and a savings account growth scenario. Each example illustrates how the y-intercept represents a starting value and the slope indicates a rate of change. The video also includes problem-solving exercises to reinforce understanding.

What does the y-intercept represent in the ice-cream sundae cost function?

• Base price of the sundae

• Total cost of the sundae

• Cost per topping

• Total number of toppings

How much does each topping cost?

• $1.25

• $0.50

• $0.75

• $1.00

If Cory's sundae cost $6, how many toppings did he choose?

• 3

• 6

• 5

• 4

What is the base cost to enter the fair?

• $6

• $5

• $4

• $3

How much does each ride cost at the fair?

• $2.25

• $1.50

• $1.75

• $2.00

How many rides did Darryl go on if he spent $19?

• 9

• 8

• 7

• 6

What does the slope represent in Liam's truck rental equation?

• Total cost

• Total miles driven

• Cost per mile

• Daily fee

What is the daily fee for renting the moving truck?

• $5

• $10

• $20

• $15

What does the y-intercept represent in the savings account growth graph?

• Final balance

• Total interest earned

• Initial deposit

• Interest rate

How much did Colby initially deposit into his savings account?

• $100

• $50

• $150

• $200