Algebra 2 Spring Final

An equation for the depreciation of a car is given by y = A(1 – r)^t , where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The value of a car is half what it originally cost. The rate of depreciation is 10%. Approximately how old is the car?

• 3.3 years

• 5.0 years

• 5.6 years

• 6.6years

How does the value of log₂100 compare with the value of log₆20?

• The value of log₂100 is about 4 times the value of . log₆20

• The value of log₂100 is about 1/4 times the value of . log₆20

• The value of log₂100 is about 2 times the value of . log₆20

• The value of log₂100 is about 1/3 times the value of . log₆20

Which is the graph of y= log(-x)?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

For what value of n does (1/36)ⁿ = 216?

• -3

• -3/2

• 3/2

• 3

The table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it takes the cyclist to complete a bicycle tour. Which rational function best models the data in the table?

• y =  $\frac{x}{96}$  

• y =  $\frac{2x}{3}$  

• y =  $\frac{3}{2x}$  

• y =  $\frac{96}{x}$  

Tags

CCSS.HSF.LE.A.2

Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.

• 12 minutes

• 50 minutes

• 1 hour 12 minutes

• 2 hours 30 minutes

Tags

CCSS.HSA.CED.A.1

Which graph represents the function f(x) = 4/x?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7D

The graph of the cube root parent function is translated to form f(x) shown on the graph.

Which equation represents f(x)?

• 
• 
• 
• 

Tags

CCSS.HSF.BF.B.3

Which describes how to graph by transforming the parent function?

• Translate the parent function 5 units to the left and 7 units up.

• Translate the parent function 5 units to the right and 7 units up.

• Translate the parent function 5 units down and 7 units to the right.

• Translate the parent function 5 units up and 7 units to the right.

Tags

CCSS.HSF.BF.B.3

A projectile is fired straight up from ground level with an initial velocity of 112 ft/s. Its height, h, above the ground after t seconds is given by h = –16t² + 112t. What is the interval of time during which the projectile's height exceeds 192 feet?

• 3 < t < 4

• t < 4

• t > 4

• 3 > t > 4