Exponential Functions Word Problems

Marlow earned $5,000 over the summer. He spent $800 of his earnings. He invested the remainder into an account that pays 3.5% interest compounded annually. Which equation represents the value of the account, V after x years?

• V=4200(1.35)^X

• V= 4200(1.035)^X

• V=5000(1.35)^X

• v=5000(1.035)^X

A scientist studied bacteria. She placed 4 bacteria in a dish. The populations of bacteria triples every 12 hours. Which equation can be used to determine the number of bacteria, y, present after x days?

• y=(3)^x

• y=4(6)^x

• y=4(3)^2x

• y=4(6)^2x

A colony of bacteria grows at a rate of 8% every 2 hours. The colony began with 100 bacteria. Which equation can be used to determine the number of bacteria, B, in the colony after t hours?

• B=0.08t+100

• B=0.04t+100

• B= 100(1.08)t

• B=100(1.08)^t/2

The population of a town is growing by 2% every 3 years. There were 1000 people living in the town in 1990. Which equation models the population of the town, p, t years after 1990?

• p=1000(0.98)^t/3

• p=1000(1.02)^t/3

• p=0.98(1000)^t/3

• p=1.02(1000)^t/3

Sarah bought an autographed football for $300. The value of the football has increased $50 every year since she purchased the football. Which equation models the value, v, of the football t years after Sarah purchased it?

• v=300t+50

• v=50t+300

• v=300(0.95)^t+50t

• v=300+(1.5)^t

An antique table was purchased for $75 and its value grows by 5% each year. Which function represents the value of the table after t years?

• f(t)= 75(0.05)^t

• f(t)= 75(0.95)^t

• f(t)=75(1.05)^t

• f(t)= 75(1.50)^t

What is the difference between a linear and exponential function? What does a linear function have that an exponential function does not?

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Pick one that talks about rate

• john is growing bacteria that started with 100 bacteria

• He notices that the bacteria is growing rapidly

• the bacteria is growing by 27%

Define initial value and how to find it

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how do you determine if a function is growth or decay

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