Provide an appropriate response.Why can't 1 be the base of a logarithmic function?
What will be an ideal response?
Answers may vary. One possibility: If the base of a logarithm were 1, as in y = log1
, then for all values of y, x would equal 1. A function requires each x-coordinate to have a unique y-coordinate. Thus, the equation y = log1
, whose graph would be equivalent to the line 
would not be a function.
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Middletown is designing a new high-speed rail system to connect Downtown, the Airport, and the Mall. The elevated tracks for the rail system will run along the existing roads, that run on a grid as shown below. In addition, a central switching station must be located at one of the intersections.
What is the length of the optimal network?
A. 7 blocks
B. 8 blocks
C. 5 + 
blocks
D. 9 blocks
E. none of these
Use the Quotient to a Power Rule to simplify. All variables are nonzero.
3
A. 
B. 
C. 
D. 
Solve the problem.The table below shows the results of a consumer survey of annual incomes in 100 households. 
What is the probability that a household has an annual income less than $25,000?
A. 0.25 B. 0.69 C. 0.57 D. 0.31
Solve the problem.Suppose the function y = 4.3t - 4.1 determines the actual time that has elapsed, in minutes, for t minutes of a person's estimate of the elapsed time. Find the actual time that has elapsed for an estimate of 
minutes.
A. 253.9 min B. 262.1 min C. 77.63 min D. 42.37 min