Linear and Exponential

A savings account balance increases in value annually at a rate of 2% per month. If the initial deposit was $1,430.00, what function best represents the scenario.

A savings account balance increases in value annually at a rate of 2% per month.  If the initial deposit was $1,430.00, what will the balance be 2 years from now?

Mathematical Equivalence

ON

During the pandemic most companies suffered a 30% loss in their value, the steepest decline ever. If at the beginning of the pandemic a company was worth $450,000, and assuming this decline continues to trend at constant ratio, what will the company’s value be just after 3 years?

• $154,350
• $400,000
• $250,000
• $135,000

Organize all contexts below as discrete or continuous.

Groups:

(a) Discrete

,

(b) Continuous

• Potency of medication as it is removed from the body.

• 
• A student is selling lolly pops for $1 each.

• Each day Abraham eats 1 bag of hot cheetos.

• Bacterial growth on a sponge.

• The number of students present each day in 5th period Math

• 
• The water released by the Hover Dam.

Organize these options into the right categories.

Groups:

(a) Linear

,

(b) Exponential

,

(c) Neither

• Sequence: 10, 20, 30, 40

• Sequence: 10, 20, 40, 80

• 
• 
• Sequence: 1, 1, 2, 3, 5, 8

• 
• 
• 
• 

Match the scenario with the proper function representing it.

• Compu-fest had a net income of $3 million. Compu-fest’s management develops a plan aimed to increase its income by 15% each year.

• Calcu-rama had a net income of $5 million in 2020. The management of Calcu-rama develops a business plan for future growth that projects an increase of $0.5 million per year.

• Compu-fest had a net income of $3 million. Compu-fest’s management develops a plan aimed to increase its income by 15 million each year.

• Calcu-rama had a net income of $5 million in 2020. The management of Calcu-rama develops a business plan for future growth that projects an increase of 5% per year.

Organize these options into the right categories

Groups:

(a) Arithmetic

,

(b) Geometric

,

(c) Neither

• 
• Sequence: 1, 3, 9, 27

• Jennifer doubles that amount of pennies she places in her piggy bank each day

• Sequence: 1, 3, 5, 7, 9

• Sequence: 1, 1, 2, 2, 3, 3, 4, 5

• Each lolly pop costs a dollar

• 
• 

• (1, 6)
• (2, 12)
• (0, 2)
• (3, 18)

• (1, 3)

• (2, 8)
• (1, 4)

• (0, 0)

• (0, 10)
• (0, 2)
• (10, -10)
• (8, 6)