Writing Exponential Functions

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. Write the equation that best models this situation.

• y = -64x + 128

• y = 0.5x + 128

• y = 128(0.5)^x

• y = 128(2)^x

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Which equation describes the story below?
You have $5 and triple your money every day. 

• y=5(3)^x
• y=5^x
• y=5(3x)
• y=15^x

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

The function y = 24,220 (0.85)^x represents Mr. Bittle's investment in the stock exchange where x is measured in months.
Which statement is NOT true.

• Mr. Bittle loses 85% of his investment monthly
• Mr. Bittle initially invested $24,220
• Each month Mr. Bittle loses less money than the prior month

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

What is the y-intercept for the function: f(x) = 800(0.85)^x?

• 800

• 0.85

• 0.15

• x

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

What is the scale factor for the function: f(x) = 800(0.85)^x?

• 800

• 0.85

• 0.15

• x

A new savings account is opened with $400 and gains 3% every year. What is the exponential function? (**hint: simplify what is in the parentheses to see which matches your scale factor!)

• f(x)=400(1+3)^x

• f(x)=400(1-0.03)^x

• f(x)=400(1+0.03)^x

• f(x)=400(0.03)^x

A new savings account is opened with $400 and gains 3% every year. Assuming there are no withdrawals or deposits, what is the amount in the account after 5 years?

• $415

• $463.71

• $343.49

• $460.12

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. What type of function does the situation represent?

• Increasing LINEAR

• Decreasing LINEAR

• EXPONENTIAL growth

• EXPONENTIAL decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.3

The equation f(x) = 300(1.06)^x is being used to calculate the amount of money in a savings account.  What does the 1.06 represent?

• 6% growth
• 6% decay
• 1.06% growth
• .06% decay

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.B.5

Determine if the equation y = 15(1.35)^x represents exponential growth or decay and justify.

• Growth, because the scale factor is greater than 1

• Growth, because the scale factor is less than 1

• Decay, because the scale factor is greater than 1

• Decay, because the scale factor is less than 1

Tags

CCSS.HSF.LE.B.5