Exponential and Linear Tables and Word Problems

Write the function for the following table:

• f(x) = 5x + .08

• f(x)= 5x + 2

• f(x) = .08(5)^x

• f(x)= 2(5)^x

Write the function for the following table:

• f(x)= 6x-2

• f(x)= 10x+2

• f(x)= 2(6)^x

• f(x)= 6(2)^x

Write the function for the following table:

• f(x) = 4x+5

• f(x)= 4x+1

• f(x)= 1(4)^x

• f(x)= 5(4)^x

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

• $344,022

• $31,500

• $15,000

• $28,500

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x

• y=1.09(1400)^x

• y=1400(.91)^x

• y=1.09^x

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

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

• 14327

• 4309

• 839

• 7680

Marburn has 80 total students in our High School. It is projected to grow at rate of 2% every year. How many students will be in the High School in 5 years from now?

• 72.3 students

• 88.3 students

• 199.1 students

• 80 students

Middletown High School has student elections every year. Lately, the school has seen a 5% decrease in voting from election to election. If 910 students voted this year, how many will be expected to vote 8 years from now? (Round to the nearest whole number if necessary).

• 604

• 777

• 29

• 198

More and more people are purchasing food from farmers' markets. As a consequence, a market researcher predicts that the number of farmers' markets will increase by 15% each year. If there are 6,200 farmers' markets this year, how many will there be in 10 years? (Round to the nearest whole number if necessary).

• 25,082

• 12,937

• 62,000

• 43,511