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Alg462 Applications Exponential Growth/Decay

Last updated over 4 years ago

15 questions

1

Each March from 1998 to 2003, a website recorded the number y of referrals it received from Internet search engines. The results can be modeled by:
where t is the number of years since 1998.

Identify the intial amount in the model above.

1

Inernet Each March from 1998 to 2003, a website recorded the number y of referrals it received from Internet search engines. The results can be modeled by:
where t is the number of years since 1998.

Identify the growth factor in the model above.

1

Inernet Each March from 1998 to 2003, a website recorded the number y of referrals it received from Internet search engines. The results can be modeled by:
where t is the number of years since 1998.

Identify the annual percent increase in the model above.

1

Write an exponential growth model that describes the situation:

In 1992, 1219 monk parakeets were observed in the United States. For the next 11 years, about 12% more parakeets were observed each year.

1

Write an exponential growth model that describes the situation:

You purchase an antique table for $450. The value of the table increases by 6% per year.

1

1

From 1997 to 2002, the number, n (in millions) of DVD players sold in the United States can be modeled by
where t = the number of years since 1997.

Identify the initial amout in the model above.

1

From 1997 to 2002, the number, n (in millions) of DVD players sold in the United States can be modeled by
where t = the number of years since 1997.

Identify the growth or decay factor in the model above.

1

From 1997 to 2002, the number, n (in millions) of DVD players sold in the United States can be modeled by
where t = the number of years since 1997.

Identify the annual percent of increase or decrease in the model above.

1

From 1997 to 2002, the number, n (in millions) of DVD players sold in the United States can be modeled by
where t = the number of years since 1997.

Estimate the number of DVD players sold in 2001.

1

You buy a new mountain bike for $200. The value of the bike decreases by 25% each year. Write a model giving the mountain bike's value y (in dollars) after t years.

1

Use the model you wrote in #11 to estimate the value of the bike after 3 years.

1

You purchased a car for $24,000 and find that it will depreciate at a rate of 15.5% per year. Write a model to represent the value v (in dollars) after t (in years)

1

Use the model you wrote in #13, and estimate the value of the car after 5 years.

1

Use the model you wrote in #13, and predict the value of the car after 50 years. Is this a reasonable value, explain in the show your work box?