Solve the problem.Find the exponential function that models the data in the table below.
A. f(x) = - 45 ? 0.6x
B. f(x) = -27 ? 1.6x
C. f(x) = -16.2 ? 0.6x
D. f(x) = 16.2 ? 1.4x
Answer: C
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Write the expression with positive exponents only. Then simplify, if possible.
A.
B. 1
C. 27
D.
Solve the given applied problem.A rectangular area of 2600 ft2 is to be fenced off along the bank of a river; no fence is required along the river. If the material for the fence costs $16 per running foot for the two ends and $15 per running foot for the side parallel to the river, what end length results in a cost of $2380.
A. 100 ft B. 52 ft C. 50 ft D. 25 ft
Use the rules for exponents to rewrite the expression and then evaluate the new expression. 3-2? 34
A.
B. 6
C. -729
D. 9
Solve the problem.A summer camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accommodate up to 35 staff members and needs at least 20 to run properly. They must have at least 10 aides, and may have up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to minimize cost?
A. 8 counselors and 12 aides B. 13 counselors and 16 aides C. 19 counselors and 23 aides D. 13 counselors and 17 aides