Growth & Decay Review

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x
• y=6(1+14)^x
• y=6(1.14)^x
• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population. Which function can be used to determine the number of deer, y, in this population at the end of t years?

• y = 1500(1 - 0.015)^t
• y = 1500(0.015)^t
• y = 1500(1 + 0.015)^t
• y = 1500(1.5)^t

Tags

CCSS.HSF.LE.A.2

Which of the following is an example of exponential growth?

• y = 5(0.5)^x

• y = .2(0.8)^x

• y = .2(1.66)^x

• y = 50(0.9)^x

Which of the following models represents exponential decay?

• y = 5(1 + .05)^t

• y = 5(1 - .05)^t

• y = 8(1 + .05)^t

• y = 2(1 + .05)^t

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300
• 1.16
• .16
• x

Tags

CCSS.HSF.LE.B.5

A boat costs $9850 and decreases in value by 7% per year. How much will the boat be worth after 6 years?

• $9,808

• $6,372.85

• $5,926.75

• $14,782.19

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

Tags

CCSS.HSF.LE.A.2

What is the balance of $6000 compounded annually at a rate of 4% for 10 years?

• $8,881.47
• $7,432.93
• $8,400
• $6,500

Tags

CCSS.HSF.LE.A.2

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

What is the growth factor for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• 16