Intro to Exponential Functions Growth vs Decay

Is this exponential growth or decay?

• Growth

• Decay

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=30(5000)^x

• y=5000(1.3)^x

• y=5000x^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 is y = 7(5/4)^x?

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

What does the model P=A(1+r)^t best represent?

• Exponential growth

• Simple Interest

• Compound Interest

• Exponential Decay

What is the pattern you see in this table?

• Common Ratio = 1/3

• Common Difference = 8

• Common Ratio = 3

• Common difference = 3

Write the equation that represents the table below:

• y=1/2(4)^x

• y=2(4)^x

• y=4(2)^x

• y=4(1/2)^x

Jame's 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

• 70(2)⁵

• 2(70)⁵

• 5(70)²

Given the function h(x) =  3^x , find the value of x such that h(x)=27.

• 1

• 2

• 3

• 4

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