Hquiz 5.7 Exponential growth and decay

Give the rate of growth:
y = 5(1.27)^x

• 127%
• 27%
• 5

Tags

CCSS.HSF-IF.C.8B

Give the rate of decay:
y = 35(0.65)^x

• 35%
• 65%
• .35%
• 165%

Tags

CCSS.HSF-IF.C.8B

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

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month.

At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

• $f(x)=417(1-0.0375)^x$

• $f(x)=417(1-3.75)^x$

• $f(x)=417(1+0.0375)^x$

• $f(x)=417(1+3.75)^x$

Tags

CCSS.HSF.LE.A.2

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

An investment of $12,000 is losing value at a rate of 4% each year, what is the value of the investment after 9 years?

• 8110.41

• 8310.41

• 8510.41

• 8710.10

Jack took our a 6-year loan for $25,000 to purchase a boat at a 4.5% interest rate. If the interest is compounded monthly, what will he have paid total over the course of the loan?

• 25000

• 30732

• 32733

• 42823

An investment account pays 3.9% interest compounded SEMI-ANNUALLY. If $4,000 is invested in this account, what will be the balance after 12 years?

• 4000

• 4358.48

• 5358.48

• 6358.48

Solve for x

 $^{64^{x\ }=8^{3x+1}}$  

• -2

• -1

• 1

• 2

Solve for p
 $2^{p-7}=8$  

• 0

• 10

• 18

• 22