F.LE.2 [580269]StudentClassDate

1. The value of a car and the time since its purchase is shown in the table below.

Years Since Purchased

(t)Value of Car

(V)

2 24,4634 23,0185 22,3278 20,377

Which function best models the relationship between time and value of the car?

A. V(t) = 24,463(0.97)t

B. V(t) = 24,463 – 0.97t

C. V(t) = 26,000(0.97)t

D. V(t) = 26,000 – 0.97t

2. In 1990, a music store sold 250 CDs per day. In 1995, they sold 175 CDs per day. Assuming a linear relationship, how many CDs did the store sell per day in 2000?

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A. 130

B. 115

C. 100

D. 85

3. The number of mold spores on a piece of bread after different amounts of time are listed in the table below.

 Day  Mold Spores 1  200 2  400 3  800 4  1,600

Which function models the number of mold spores on the bread after xdays?

A. y = 100(2x)

B. y = 2x + 100

C. y = 2(100)x

D. y = 100(2)x

4. Which choice is an equation of the linear function that passes

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through the points (2, 3) and (5, 9)?

A. y = 2x + 1

B. y = 2x – 1

C. y = 3x + 1

D. y = 3x – 1

5. Which is an equation of the exponential function that passes through the points shown in the table below?

   x  y 3  3 4  9 5  27 6  81 7  243

A.

B.

C.

D.

6. The table below shows the value of Henry’s car for each of the first 3 years

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after it is purchased. The values form a geometric sequence.

What will be the approximate value of the car in the 10th year?

A. $2,150

B. $2,680

C. $5,240

D. $6,550

7. Which equation is modeled by the points

A.

B.

C. 

D.

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8. Which exponential function’s graph passes through the points shown in the table below?

x y1 0.253 0.0625

A.

B.

C.

D.

9. Which function fits the values in the table below?

   x  f(x) 0  50 1  150 2  450 3  1,350

A. f(x) = 50x

B. f(x) = 50(3)x

C. f(x) = 3x

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D. f(x) = 3(50)x

10. A cupcake shop had $55,000 in sales in the year 1990. In the year 2000, the shop had $105,000 in sales. Assuming a linear relationship, which function models the amount of sales the shop had x years after 1990?

A. f(x) = 5,000x + 55,000

B. f(x) = 5,000x + 105,000

C. f(x) = 55,000x + 105,000

D. f(x) = 105,000x + 55,000

11. Juan invested $1,000. The value of the investment at the end of different years is shown in the table below.

 Year (x)  Value (y) 0  $1,000.00 1  $1,120.00 2  $1,254.40 3  $1,404.93

> 4  $1,573.52

Which function best represents the data?

A. y = 1,000(1.12)x

B. y = 1,000(0.12)x

C. y = 1,000 + 1.12x

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D. y = 1,000 + 0.12x

12. Maria began the school year with $200 in her school lunch account.

The amount of money in the account has decreased linearly. After 3 months, she had $155 in her account. After 5 months, she had $125 in her account.

Which function models the amount of money that Maria has in her account at the end of nmonths?

A. f(n) = 200 – 30n

B. f(n) = 200 – 15n

C. f(n) = 30n – 200

D. f(n) = 15n – 200

13. The graph below represents an exponential function:

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Which equation represents the graph?

A.

B.

C.

D.

14. Debra runs at a constant rate of speed. At the end of 20 minutes, she has run 2.4 miles. At the end of 45 minutes, she has run 5.4 miles. What is the equation that represents the number of miles she runs, n, in terms of the time she has run, t minutes?

A.

B.

C.

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D.

15. Which choice is an equation of the function that passes through the points listed in the table below?

x y2 44 166 648 256

A. y = 2x

B. y = 6x – 8

C. y = 2x

D. y = 4x

16. A company bought a new machine for $25,000.

Write a function  to find the value of the machine at the end of years, assuming a depreciation rate of 5% of its initial cost every year.

Write a function to find the value of the machine at the end of years, assuming it depreciates exponentially by 5% every year.

Complete the table below.

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Describe each function. Explain your reasoning.

17. Miesha is saving the same amount of money each week. After 2 weeks, she saves $85. After 4 weeks, she saves $135. Which equation models the amount of money Miesha will have saved, y, after x weeks?

A. y = 25x  + 35

B. y = 25x  + 85

C. y = 50x – 15

D. y = 50x  + 85

18. Iodine-131 is a radioactive material with a half-life of eight days. A scientist starts with 100 grams of Iodine-131. Which function can be used to estimate the number of grams of Iodine-131 remaining at the end of days?

A.

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B.

C.

D.

19. Which choice is an equation of the function that passes through the points listed in the table below?

x y 0  9 1  11 2  17 3  35

A. y = x + 9

B. y = 2x + 9

C. y = 2x + 8

D. y = 3x + 8

20. Which function represents the graph below?

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A. y = –2x – 3

B. y = –2x + 3

C. y = 2x – 3

D. y = 2x + 3

21. Which equation of an exponential function has a graph that passes through the points

A.

B.

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C.

D.

22. The amount of radioactive substance left at the end of x days can be represented by an exponential function. The initial amount is 100 grams, and the amount left after three days is 72.9 grams. Which function models the amount of radioactive substance left at the end of x number of days?

A.

B.

C.

D.

23. A 6-pound bag of peanuts costs $7.50, and a 10-pound bag of peanuts costs $12.50. Assuming the cost of peanuts follows a linear trend, how much would a 3-pound bag of peanuts cost?

A. $1.25

B. $3.75

C. $4.25

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D. $5.00

24. Marie plans to sell roses for Valentine’s Day. She decides on the following prices: 1 rose for $4.25, 2 roses for $6.00, 3 roses for $7.75, 4 roses for $9.50, 5 roses for $11.25, and a half-dozen roses for $13.00. Which function correctly describes Marie’s prices?

A.

B.

C.

D.

25. What is the equation of the function graphed below?

A.

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B.

C.

D.

26. The table below shows the amount of bacteria in a lab dish after different amounts of time.

 Time (hours) (x)

 Bacteria  (y)

 1  150 2  450 3  1,350 4  4,050

Which function models the population of bacteria?

A. y = 3x + 50

B. y = 3x + 150

C. y = 50(3)x

D. y = 150(3)x

27. James threw a ball from the roof of a building. The ball fell 3 feet in the first second, 9 feet in next second, and 27 feet in the third second. Which expression represents the distance the ball fell at the nth second?

A.

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B.

C.

D.

28. Which choice is an equation of the linear function that passes through the points (1, 3) and (–2, 3)?

A. y = 1

B. y = 3

C. y = 2x + 3

D. y = –2x + 3

29. Isaac rented a movie but forgot to return it on time. The table below shows the total amount of money that Isaac owed after different numbers of days.

 Number ofDays (x)

 Total Owed (y) 1  $3.00 2  $4.25 3  $5.50 4  $6.75

Which function models the amount of money Isaac owed after xdays?

A. y = 1.25x + 1.75

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B. y = 1.25x + 3

C. y = 1.25(3)x

D. y = 3(1.25)x

30. Which choice is a correct equation for the graph shown below?

A. y = 2x + 20

B. y = 3x + 1

C. y = 10x + 5

D. y = 15x + 35

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31. The graph below shows the number of bacteria in a petri dish over a period of time.

Which exponential function could be used to model the number of bacteria after xdays?

A. y = 1.5(1,266)x

B. y = 1,266(1.5)x

C. y = 1.05(1,266)x

D. y = 1,266(1.05)x

32. Which is an equation of the function that passes through the

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points listed in the table below?

   x  y 1  1 2 > 13 3  61 4  253

A. 

B.

C.  

D.

33. Which is an equation of the linear function that passes through

the points and ?

A. 6x – 3y = 6

B. 2x – y = 6

C. 2x – 3y = 6

D. 2x – 3y = 2

34. The graph of a linear function passes through the points (2,3)

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and (5,9). Which is an equation of the function?

A. f(x) = 2x + 1

B. f(x) = 2x − 1

C. f(x) = 3x − 1

D. f(x) = 3x + 1

35. An electric company charges its residential customers $0.13 per kWh with a fixed monthly charge of $16. If a customer uses of electricity in a month, which of these functions represents the total monthly bill?

A.

B.

C.

D.

36. Which is an equation of the linear function that passes through the points (3, 7) and (8, –13)?

A.

B.

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C.

D.

37. The graph of a function is shown.

Which function best represents the graph?

A.

B.

C.

D.

38. Which is an equation of the linear function that passes through

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the points (–3, –1) and (4, –2)?

A.

B.

C.

D.

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