Exponential Word Problem

The population of Bloom Falls, Mass. (population 937) is slowly moving to a bigger city.
Every year the population drops by 4.5%.
What is the multiplier for this problem?

• 1.045 

• .045 

• .955

• 1.955

You buy a new computer for $2100. The computer decreases by 50% annually. How much is it worth after 2 years.

• 225

• 325

• 425

• 525

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(0.35)^x

• y = 15(1.35)^x

• y = 35(1.15)^x

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x

• y=15,000(0.92)^x

• y=15,000(1.08)^x

• y=15,000(0.08)^x

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=5000(1.3)^x

• y=30(5000)^x

• y=5000x^x

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• 70(2)³⁵

• 2(70)⁵

• 5(70)²

• 70(2)⁵

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9765

• 9006

• 5433

• 9766

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1.14)^x

• y=6(1+14)^x

• y=6(0.86)^x

You have inherited land that was purchased for $25,000 in 1970. The value of the land has appreciated by approximately 4% per year. What was the value of the land in the year 2000? Round to the nearest whole dollar.

• $750,000

• $605,035,808

• $81,084

• $7,346

You deposit $500 into an account. If the account pays 6% and compounds, how much will the account be worth after 10 years? Round to the nearest whole dollar.

• $895

• $133,931

• $273

• $907