A.9C

There are 1,502 players in a chess tournament. Each round half the players are eliminated. What function can be used to find the number of equations at the end of x rounds?

• f(x) = 1,502(0.05)^x

• f(x) = 1,502(1.50)^x

• f(x) = 1,502(0.50)^x

• f(x) = 1,502(1.50)^x

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CCSS.HSF.LE.A.2

In the year 2000 the total number of steel produced in the world was 431,000. Each year since 2000, the total number has increased on average by about 3.25% over the amount produced the previous year.

Which function models the total number of steel produced in the year that x years since 2000?

• f(x) = 431,000(1.0325)^x

• f(x) = 431,000(0.9675)^x

• f(x) = 431,000x^1.0325

• f(x) = 431,000x^0.9675

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CCSS.HSF.LE.A.2

The population of a endangered panda is decreasing at a rate of 0.75% per year. There are currently about 200,000 of these pandas. Write a function that models the panda population.

• f(x) = 200,000 ( 1 - .0075)^x

• f(x) = 200,000 ( 1 + .0075)^x

• f(x) = 200,000 ( 1 - .75)^x

• f(x) = 200,000 ( 1 + .75)^x

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CCSS.HSF.LE.A.2

There is a population of 100 ants in a colony. If the number of ants doubles each day, which function can be used to determine what the population will be after x days from now?

• f(x) = 100 + (.5)^x

• f(x) = 100 (2)^x

• f(x) = 2 (100)^x

• f(x) = 100 + (2)^x

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CCSS.HSF.LE.A.2

Club Penguin currently has 70,000 active members. If the site loses 5% of its active members each month, which function can be used to determine the number of active members the site can expect to have in x months?

• f(x) = 70,000 (.95)^x

• f(x) = 70,000 (1.05)^x

• f(x) = 70,000 - (5)^x

• f(x) = 0.95 (70,000)^x

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CCSS.HSF.LE.A.2

If a population of 100 birds triples every year, which function represents f(x) , the population after x?

• f(x) = 3(100)^x

• f(x) = 100(3)^x

• f(x) = 3x + 100

• f(x) = 100x + 3

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CCSS.HSF.LE.A.2

Based on past experiences, a homeowner estimates that appliances lose 35% of their resale value each year. Which function can be used to determine the value of a refrigerator after after X years if it is currently valued at $2,100?

• f(x) = 2,100 (0.35)^x

• f(x) = 0.65 (2,100)^x

• f(x) = 2,100 (0.65)^x

• f(x) = 2,100 (1.35)^x

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CCSS.HSF.LE.A.2

The amount of fertilizer in a landscaping company's warehouse decreased at a rate of 3% per week. The amount of fertilizer in the warehouse was originally 78,000 cubic yards. Which function models the amount of fertilizer in cubic yards left after x weeks

• f(x) = 0.97(78,000)^x

• f(x) = 1.03(78,000)^x

• f(x) = 78,000(0.97)^x

• f(x) = 78,000(1.03)^x

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CCSS.HSF.LE.A.2

At a certain college rumor spreads to 25% more people each day. If 10 people initially heard the rumor, which expression below can be used to determine the number of people that have heard the rumor after x days?

• f(x) = 10 (1+ 25)^x

• f(x) = 10 (1 + 0.25)^x

• f(x) = 8 (1 + 0.25)^x + 2

• f(x) = 8 (1 + 0.25)^x + 10

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CCSS.HSF.LE.A.2

Kevin bought a house for $85,000. It's value goes up 6% each year, write an equation that represents the exponential function.

• f(x) = 85,000 (1.06)^x

• f(x) = 6 (85,000)^x

• f(x) = 1.06 (85,000)^x

• f(x) = 85,000 (6)

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CCSS.HSF.LE.A.2