The following table shows the running speed, in centimeters per second, of ants as a function of temperature, in degrees Celsius.
25.627.530.330.433.8
2.623.033.553.564.32?
A. Calculate the average rate of change in running speed from 30.4 inches to 33.8 inches.B. Explain in practical terms the meaning of the number you calculated in part A.C. Use the average rate of change to estimate the running speed of ants when the temperature is 35.24 degrees Celsius.
What will be an ideal response?
A. 0.22 centimeters per second per degree Celsius?B. From a temperature of 30.4 degrees Celsius to a temperature of 33.8 degrees Celsius, on average each one-degree increase in temperature corresponds to increasing running speed by 0.22 centimeters per second.?C. 4.64 centimeters per second
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Use your calculator to perform each calculation and observe the answers. Use inductive reasoning to determine which statement is true. (-27)2 ; (-3)4 ; (-0.3)6 ; (-1.68)8
A. Raising a negative number to an even power gives an error message on a calculator. B. Raising a negative number to an even power can give either a positive or negative result. C. Raising a negative number to an even power gives a negative result. D. Raising a negative number to an even power gives a positive result
Simplify.
- 
÷ 
A. 
B. 
C. 
D. 
Solve the problem.The total profit function P(x) for a company producing x thousand units is given by 
Find the values of x for which the company makes a profit. [Hint: The company makes a profit when 
A. x is less than 6 thousand units or greater than 14 thousand units B. x is greater than 6 thousand units C. x is between 6 thousand units and 14 thousand units D. x is less than 14 thousand units
Write the expression in expanded form.log 
A. log 3 + 5 log x + 
log(2 - x) - log 3 - 2 log(x + 2)
B. log 3 + 5 log x + 
log(2 - x) - log 3 + 2 log(x + 2)
C. log(3x5
) - log(3(x + 2)2)
D. log 3 + log x5 + log(2 - x)1/3 - log 3 - log(x + 2)2