Lesson 2.10: Equations from Tables and Word Problems

Lesson 2.10
Slope Intercept Form from Tables and Word Problems

Definitions:

Initial Value: Another name for y-intercept.
Constant Rate of Change: Another name for slope.
Linear Table: A table represents a linear functions (a line) when you can find a constant rate of change from the table.

​Slope Intercept form from a table:

Multiple Choice

What equation represents this table?

• y = -2x - 7

• y = 3x - 1

• y = -1x + 3

• y = 3x + 1

​What about when the x values do not increase by 1?

Multiple Choice

What equation represents this table?

• y = 8x + 3

• y = 4x + 3

• y = 3x + 4

• y = 3x + 8

​Word Problems:

​Bobby starts with $100 in his bank account. He saves $20 per week. Write an equation to represent how much money '' Bobby will have after 'x' weeks.

Multiple Choice

Phillip has $75 in his bank account and he saves $25 per week. Write an equation to represent how much money 'y' Phillip will have in his account after 'm' weeks.

• y = 75x + 25

• y = 75x - 25

• y = 25x + 75

• y = 25x - 75

Multiple Choice

You are planning to rent a car. To rent the car you need to spend $500 up front, and $100 per week you are renting it. Write an equation to represent the total cost after a certain amount of weeks.

• y = 500x + 100

• 500 = 100x + y

• y = 100x + 500

• 100 = 500x + m