Real World Exponential Problems Tables

Ash has $8,000 in a savings account. The interest rate is 3% compounded once a year.

To the nearest cent, how much will he have in his account in 4 years?

• $9,004.07

• $2,2848.80

• $9,011.94

• $8,242.71

A sailboat that costs $5,950 decreases in value by 11% per year. How much will the boat be worth after 6 years?

• $5,884.00

• $5,178.97

• $2,992.96

• $2,957.04

The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years?

• $12,800.00

• $13,629.44

• $17,600.00

• $28,098.56

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, what will be the population in 13 years?

If necessary, round your answer to the nearest whole number.

• 4 people.

• 22,972 people.

• 1,169,030 people.

• 1,188,311 people.

Write the exponential equation that models this situation. Hint: Change decimal to fraction (Math enter enter)

Mathematical Equivalence

ON

Left to right, what happens to the y-values?​ (a)   The table represents exponential ​ (b)   The decay factor (b-value) is (c)   ​

• They are multiplied by 1/3

• They are multiplied by 3

• 1/3

• decay

• 3

• growth

Answer explanation

The function f(x)=27(\frac{1}{3})^x represents exponential decay, which fits the table's values decreasing as x increases. The other options either represent linear functions or exponential growth, making them incorrect.

• $2677.5

• $19361.1

• $3254.52

• $6231

• 19

• 17

• 38427

• 38425

• 38

Due to its weakening steel industry, Canalave Town has been experiencing a population decline of 10% every year. The current population is 74,000 people. Assuming the trend continues, which equation projects the population in x years?

• y = 74,000 (0.10)^x

• y = 74,000 (0.90)^x

• y = 74,000 (1.10)^x

• y = 74,000 (1.90)^x

The number of research papers in Professor Sycamore area of expertise has been increasing by 5% every year. Given that 30,010 research papers were published this year. Assuming the trend continues, which equation projects the amount of research papers published in x years?

• y = 30,010 (.05)^x

• y = 30,010 (1.05)^x

• y = 30,010 (.95)^x

• y = 30,010 (5)^x