Exponential Growth Continuously

A colony of termites is growing continuously at a rate of 6.2% monthly. If the colony starts with 500, how many would there be in one year?

• 02 E 35 (huge amount)

• 1052

• 246375

• 532

What is the equation that represents the exponential function in the image below?

• y=3(½)^x

• y=3(2)^x

• y=(2)^x

• y=2(3)^x

Which equation matches the graph?

• y=2(2)^x

• y=2(1/2)^x

• y=2^x

• y=1/2(2)^x

What type of function does this table represent?

• Linear

• Exponential

• Neither

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There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

• f(x) = 417(3.75)^x

• f(x) = 417(0.0375)^x

• f(x) = 417(1.0375)^x

• f(x) = 417(1.375)^x

Classify
 f(x)=-3(1.75)^x-4+6

• Exponential Growth

• Exponential Decay

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?

• 9766

• 9006

• 9765

• 5433

What is the equation for the table?

• y = 1(2)^x

• y = 2(1)^x

• y = 2(3)^x

• y = 3(2)^x