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- 1. Multiple ChoiceA certain population of bacteria has an average growth rate of 2%. The formula for the growth of the bacteria’s population is A = P0 ・ 1.02t, where P0 is the original population and t is the time in hours. If you begin with 200 bacteria, about how many bacteria will there be after 100 hours?7272147820000
- 2. Multiple Choice. Which function represents this sequence? n 1 2 3 4 5
an 6 18 54 162 486f(n) = 3 n – 1f(n) = 6 n – 1f(n) = 3(6 n – 1)f(n) = 6(3 n – 1) - 3. Multiple Choice. Which function represents this sequence? n 1 2 3 4 5
an 6 18 54 162 486f(n) = 3 n – 1f(n) = 6 n – 1f(n) = 3(6 n – 1)f(n) = 6(3 n – 1) - 4. Multiple Choice. Which function represents this sequence? n 1 2 3 4 5
an 6 18 54 162 486f(n) = 3 n – 1f(n) = 6 n – 1f(n) = 3(6 n – 1)f(n) = 6(3 n – 1) - 5. Multiple ChoiceThe points (0, 1), (1, 5), (2, 25), and (3, 125) are on the graph of a function. Which equation represents that function?f(x) = 2xf(x) = 3xf(x) = 4xf(x) = 5x
- 6. Multiple ChoiceWhich function is modeled in this table?
x F(x)
1 1000
2 800
3 640
4 5121,000(0.80)x1,000(0.20)x1,000(0.80)x1,000(0.20)x - 7. Multiple ChoiceWhich explicit formula describes the pattern in this table?
d C
0 1
1 6
2 36
3 216C = 6dC = d + 6C = 6dC = d6 - 8. Multiple Choice. For a recently released movie, the function y = 119.67(0.6l)x models the revenue earned, y, in millions of dollars each week, x, for several weeks after its release. Based on the equation, how much more money, in millions of dollars, was earned in revenue for week 3 than for week 5?37.2727.1617.0610.11
- 9. Multiple ChoiceSome banks charge a fee on savings accounts that are left inactive for an extended period of time. The equation represents the value, y, of one account that was left inactive for a period of x years. What is the y-intercept of this equation and what does it represent?0.98, the percent of money in the account initially0.98, the percent of money in the account after x years5000, the amount of money in the account initially5000, the amount of money in the account after x years
- 10. Multiple ChoiceThe table below shows the average yearly balance in a savings account where interest is compounded annually. No money is deposited or withdrawn after the initial amount is deposited.
Year Balance in Dollars
0 380.00
10 562.49
20 832.63
30 1232.49
40 1824.39
50 2700.54
Which type of function best models the given data?linear function with a negative rate of changelinear function with a positive rate of changeexponential decay functionexponential growth function - 11. Multiple Choice. A population of squirrels doubles every year. Initially, there were 5 squirrels. A biologist studying the squirrels created a function to model their population growth: P(t) = 5(2t), where t is the time in years. The graph of the function is shown What is the range of the function?any real numberany whole number greater than 0any whole number greater than 5any whole number greater than or equal to 5
- 12. Multiple Choice. If a sequence is defined recursively by f(0) = 2 and f(n+1) =-2f(n) + 3 for n>= 0, then f(2) is equal to1-11517
- 13. Multiple ChoiceWhich of the following functions is exponential?f(x) = a2f(x) = x3f(x) = x 2/3f(x) = 8x
- 14. Multiple ChoiceUse the equation below to answer the following question. As the value of x becomes negative and continues to decrease, what happens to the value of y? y = 2xy becomes negativey gets closer to 1y gets closer to 0y gets closer to x
- 15. Multiple ChoiceTrevor writes the equations shown. Y = ax and y = ax Which statement correctly compares the rate of change for the two equations
Which statement correctly compares the rate of change for the two equationsBoth rates of change varyBoth rates of change are constantThe rate of change of y =ax is constant, and the rate of change of y = ax variesThe rate of change of y =ax is constant, and the rate of change of y = ax varies. - 16. Multiple ChoiceWhat are the domain and range of the function y = 4(3x) – 2Domain = all real numbers Range = y>-2Domain = all real number Range = y>0Domain = all integers Range y>-2Domain = all integers Range y>0
- 17. Multiple ChoiceWhat is the solution of the system of equations below?
2x + 3y = 7
x + y = 3(1,2)(2,1)(4,-1)(4,1) - 18. Multiple ChoiceThe equations and represent the money collected from selling gift baskets in a school fundraising event. If x represents the cost for each snack gift basket and y represents the cost for each chocolate gift basket, what is the cost for each chocolate gift basket?$20$25$30$54
- 19. Multiple ChoiceA cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user's monthly bill?c = 60-0.05dc=60.5dc=60d - 0.05c= 60 + 0.05d
- 20. Multiple ChoicePeyton is a sprinter who can run the 40-yard dash in 4.5 seconds. He converts his speed into miles per hour, as shown below
40yd/4.5 sec times 3ft/1yd times 5280ft/1mi times 60 sec/1 min times 6omin/1 hr3ft/1 yd5280 ft/1mi60 sec/1 min60 min/1 hr - 21. Multiple ChoiceA total of 1680 ounces of pet food have to be packed in 5-pound bags. How many 5-pound bags of pet food can be packed?2128105336
- 22. Multiple ChoiceTim ate four more cookies than Alice. Bob ate twice as many cookies as Tim. If x represents the number of cookies Alice ate, which expression represents the number of cookies Bob ate?2 + (x + 4)2x + 42(x+4)4(x+2)
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