Unit 5 Expos and Logs Quiz

When Katie was born her mother invested $5000 in an account for her college savings. We can use the formula V = 5000(1 + r)^t where r represents the interest rate and t represents the time in years.

If Katie has approximately $11,042 in her account after 18 years, what was the interest rate for the account?

• A). 3.5%

• B). 4.5%

• C). 5.5%

• D).  6.5%

A new tennis club opened with 25 members. The membership of the club can be approximated by the formula C = 25(1.2)^m where m represents the number of months and C represents the total club membership.

After how many months will the club have about 43 members?

• A). 2

• B). 3

• C). 4

• D). 5

Which curve shows an exponential function of the form y = ab^x ?

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Convert log₇ (7^x) = y to exponential form.

• 7^x = y

• 7^y = x

• x⁷ = y⁷

• 7^x = 7^y

Solve the equation log (3x – 2) = 2 for x.

• A). x= 34

• B). x = 102

• A). x= -13

• B). x = -1

• C). x= 13

• D).   x= 1 

Julie has to classify functions according to their graphs on her test. She comes across the graph shown. What type of function is this?

• A).  Linear

• B). Quadratic

• C). Exponential

• D). Logarithmic

   

Sammy is going to graph y = e^x + 3. Before he graphs, he writes down what he thinks will happen to the parent graph. Which statement is correct?

• A) The graph is translated up 3 units

• B) The graph is translated down 3 units

• C) The graph is translated to the left 3 units

• D)The graph is translated to the right 3 units

Which equation is equivalent to log 100 = 2?

• A). 2¹⁰ = 100

• B). 10² = 100

• C). 50×2 = 100

• D). 100² = 10