Exponential Average Rate of Change

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Calculate the average rate of change from day 0 to day 5.

• $\frac{1283-2000}{5\ -\ 0}=-143.4$

• $\frac{2000-1283}{5\ -\ 0}=\ 143.4$

• $\frac{5-0}{1283-2000}=-0.007$

• $\frac{5-0}{2000-1283}=0.007$

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Interpret average rate of change from day 0 to day 5.

• The store lost 143.3 popular trading cards each day.

• The store gained 143.3 popular trading cards each day.
  

• The store lost 143.3 popular trading cards each year.
  

• The store lost 0.007 popular trading cards each day.
  

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Calculate the average rate of change from day 5 to day 15.

•  $\frac{1283-528}{15\ -\ 5}=75.5$ 

•  $\frac{528-1283}{15\ -\ 5}=\ -75.5$ 

•  $\frac{15-5}{1283-528}=0.013$ 

•  $\frac{15-5}{528-1283}=-0.013$ 

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Interpret average rate of change from day 5 to day 15.

• The store lost 75.5 popular trading cards each day.

• The store gained 75.5 popular trading cards each day.
  

• The store lost 75.5 popular trading cards each year.
  

• The store lost 0.013 popular trading cards each day.
  

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Calculate the average rate of change from day 15 to day 20.

• -38 decks per day

• 38 decks per day

• -0.03 decks per day

• 0.03 decks per day

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Calculate the average rate of change from day 5 to day 20.

• -63 decks per day

• -73 decks per day

• -83 decks per day

• -53 decks per day

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Calculate the average rate of change from day 0 to day 20.

• -83.1 decks per day

• 83.1 decks per day

• -0.012 decks per day

• 0.012 decks per day

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Overall, how would you describe the differences in average rate of changes of the deck of cards per day.

• The average rate of change from d =0 to d = 5 is less than the average rate of change from d = 15 to d = 20.

• The average rate of change from d =0 to d = 5 is greater than the average rate of change from d = 15 to d = 20.

• The average rate of change from d =0 to d = 5 is similar to the average rate of change from d = 15 to d = 20.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Based on this table, how would you describe the relationship between decks of trading cards and days?

• Exponential Decay

• Exponential Growth

• Linear Growth

• Linear Decay

Tags

CCSS.HSF-LE.A.1A