Exponential Growth Story Problems

What is the initial value, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

What does the x in y=a(1+r)^x usually a represent?

• Time

• Rate

• Slope

• Initial Amount

• Growth Factor

Tags

CCSS.HSF-IF.C.8B

A new fitness center had 350 members in its first year. The number of members increased by 14% each year. Approximately how many members did they have after 8 years?

• 929 members

• 998 members

• 955 members

• 972 members

Tags

CCSS.HSF-LE.A.1C

In 1996 the number of subscriptions to the Quad City Times was 16,450. Since then, the number of subscriptions has increased by 9.2% each year. How many subscriptions were there 6 years later?

• 28,965

• 27.893

• 17,559

• 21,433

Tags

CCSS.HSF-LE.A.1C

When Brad was born, his Grandma put $1,500 in a new account for him. Each year the balance has grown by 6.5%. If Brad withdrawals all the money on his 21st birthday, how much money will he have?

• $5,629.02

• $6,281.81

• $5,674.97

• $7,430.03

Tags

CCSS.HSF.BF.A.2

Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year. Use an exponential function to find the annual sales after 7 years.

Round to two decimal places (like dollars and cents).

The population of a school is 800 students and is increasing at a rate of 2% per year. Use an exponential function to find the population of the school after 9 years.

Round to the nearest whole number.

During a certain period of time, about 70 northern sea otters had an annual growth of 18%. Use an exponential function to find the number of sea otters after 4 years.

Round to the nearest whole number.

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. Use an exponential function to find the value of the home today.

Round to two decimal places (like money).

• Initial amount

• Rate of growth or decay

• Time

• End amount

Tags

CCSS.HSF-IF.C.8B