Honors Precalculus Exponential Equations

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CCSS.HSF-IF.C.7E

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CCSS.HSF-IF.C.8B

Consider the two points (0, 8) and (1, 2).

a. Write a linear equation that passes through these points in slope-intercept form.

b. Write an exponential equation in y = ab^x form that also passes through the two points.

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CCSS.HSF.LE.A.2

In 2000, there were 20 rabbits in Mendon Ponds Park. The population increased by 12% each year.

a. Write an equation to represent this situation where x is the time in years since 2000 and y is the rabbit population.

b. How many rabbits were there in Mendon Ponds Park in 2010?

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CCSS.HSF.LE.A.2

The current student population of the Brentwood Student Center is 2,000. The enrollment at the center increases at a rate of 4% each year. To the nearest whole number, what will the student population be closest to in 3 years?

• 2,240

• 2,250

• 5,488

• 6,240

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CCSS.HSF-LE.A.1C

Julia bought an antique dresser for $500. If the value of her dresser increases 6% annually, what will be the value of Julia's dresser at the end of 3 years to the nearest dollar?

• $415

• $590

• $596

• $770

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CCSS.HSF.BF.A.2

The New York Volleyball Association invited 64 teams to compete in a tournament. After each round, half of the teams were eliminated. Which equation represents the number of teams, t, that remained in the tournament after r rounds.

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CCSS.HSF.LE.A.2

Is the equation A = 21,000(1 - 0.12)^t a model of exponential growth or exponential decay, and what is the rate (percent) of change per time period?

• exponential growth and 12%

• exponential growth and 88%

• exponential decay and 12%

• exponential decay and 88%

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CCSS.HSF-IF.C.8B

Sina's Print Shop purchased a new printer for $35,000. Each year, it depreciates (loses value) at a rate of 5%. What will its approximate value be at the end of the 4th year?

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CCSS.HSF.BF.A.2

Mrs. Hayward invested $2,500 in a savings account for Adalyn that earns 3% interest compounded annually. If she didn't make any additional deposits or withdrawals, how much would her investment be worth in 18 years?