Writing Your Own Scenarios

Algebra 1Semester 2

Scenario Equation

Scenario

Despite the odds, Chicago Bulls drafted Derrick Rose as the #1 draft pick. Rose scored 55 points the first week of the season. On average, he scores about 17 points per game.

Write an equation for the problem situation. Use x to represent the number of games and use y to represent the total points scored.

y = 17x + 55

Total points Points per game

Number of games(after 1st week)

Points scored 1st week

EXAMPLE 1Equation Scenario Equation: y = 30x + 200

What is the constant in the equation?

What is the rate of change in the equation?

Ms. Choi got a great phone plan in the summer with Sprint. She bought a new Palm Treo for $200. The plan includes unlimited internet and texting for just $30 per month!

y = 30x + 200

Total CostMonthlycharge

Number of months

Cost of phone

Scenario

200

30

EXAMPLE 2Equation Scenario

Equation: y = -12x + 120

What is the constant in the equation?

What is the rate of change in the equation?

Scenario

The Algebra class received a set of brand new graphing calculators at the beginning of the year that contained 120 AA batteries. Each week, the teacher finds 12 missing batteries.

y = -12x + 120

Number of batteries left

Number of batteries missing per week

Number of weeks

Initial number of batteries

120

-12