A.9E EXPONENTIAL FUNCTIONS - PREDICTIONS

The exponential function modeled represents the number of square kilometers of land occupied by a lizard, x years after the lizard was first introduced into the area.

Based on the data shown, which measurement is closest to the number of square kilometers of land that will be occupied by this lizard 40 years after the lizard was first

introduced into this area?

• 550,000 km²

• 1,250,000 km²

• 600,000 km²

• 800,000 km²

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CCSS.HSF.LE.A.2

Which equation is the best model for the table of values shown above?

•  $y=\left(6.98^{-x}\right)$   

•  $y=6.98\left(4^{-x}\right)$  

•  $y=6,98\left(4^x\right)$ 

•  $y=6.98^{-x}$  

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CCSS.HSF.LE.A.2

In 2012, the tuition cost of a college in Texas was $15,000 per year. The cost of tuition increased at a rate of about 7.2% each year. Which of the following best represents the tuition cost in 2018?

• About $26,000

• About $21,000

• About $16,000

• About $23,000

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CCSS.HSF.BF.A.2

In 1985, there were 285 cell phone users in a small town. The number of users increased by 75% per year after 1985. Based on the data shown, which of the following is closest to the number of cell phone users in this small town in 1994?

• 400,000

• 25,000

• 40,000

• 250,000

The table below shows the bacteria growth in a culture that are growing exponentially. Which of the following best represents the number of bacteria,  $y$  present at any time,  $t.$  

•  $y=2^t$  

•  $y=\left(100\right)\left(2^t\right)$  

•  $y=100+2^t$  

•  $y=200^t$  

Tags

CCSS.HSF.LE.A.2

Which best describes the population for the year 2010?

• About 550,000

• About 900,000

• About 180,000

• Less than 100,000

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CCSS.HSF.LE.B.5

Which table correctly describes points of the exponential function $\left(fx\right)\ =\ 3^{-x}-2$  ?

• 
• 
• 
• 

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CCSS.HSF.LE.A.2

Which equation is the best model for the table of values shown?

• $y=\frac{1}{3}\left(81\right)^x$

• $y=81\left(3\right)^x$

• $y=81\left(\frac{1}{3}\right)^x$

• 3( $y=3\left(81\right)^{-x}$

Tags

CCSS.HSF.LE.A.2

A cleaning company earns a profit of $400 in its first year of business. Each year, its profit increases 5%. The exponential function,    $p=400\left(1.05\right)^x$  , where  $p$ represents the profit and  $n$  represents the number of years, can be used to model this relationship. Which of the following best
represents the profit of the cleaning business in the 
10th year?

•  $65,000$  

•  $42,000$  

•  $650$  

•  $420$  

In 1995, the number of students enrolled

at a local college in Texas was 15,000.

The student enrollment is growing at a rate of

4% each year. About how many students can the

college expect to have in 25 years?

• 40,000

• 50,000

• 30,000

• 150,000

Tags

CCSS.HSF-LE.A.1C