U4-LT7-10 (Writing and evaluating exponential functions)

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

• 800

• 0.85

• 0.15

• x

Tags

CCSS.HSF-IF.C.7E

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

• 800

• 0.85

• 0.15

• x

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the scale factor?

• ^0.08

• ^1.08

• 0.92

• 8

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation that models this situation?

• y = 8(15,000)^x

• y = 15,000(1.08)^x

• y = 15,000(0.92)^x

• y = 15,000(0.08)^x

Tags

CCSS.HSF.LE.A.2

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the value of the car after 7 years, rounded to the nearest cent.

• $800

• $8367.70

• $6600

• $25,707.36

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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.HSF.LE.B.5

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. What is the scale factor?

• ^0.7

• ^1.3

• ³⁰

• 0.3