The average monthly temperature for a planet (in degrees fahrenheit) can be estimated by the function $f(x)=0.012 x^{4}-0.011 x^{3}+5.1 x^{2}-33 x+33$ where $x=1$ represents January, $x=2$ represents February, etc.
Find the average temperature of the planet for the month of April. Do not round your answer. Write out all the decimal places.
Answer:
Submit Question
Answer
The average temperature for the month of April is \(\boxed{-14.032}\) degrees Fahrenheit
Step 1 ：Substitute x=4 into the function f(x)
Step 2 ：f(4) = 0.012(4)^{4} - 0.011(4)^{3} + 5.1(4)^{2} - 33(4) + 33
Step 3 ：Simplify the expression
Step 4 ：f(4) = 0.012(256) - 0.011(64) + 5.1(16) - 33(4) + 33
Step 5 ：f(4) = 3.072 - 0.704 + 81.6 - 132 + 33
Step 6 ：f(4) = -14.032
Step 7 ：The average temperature for the month of April is \(\boxed{-14.032}\) degrees Fahrenheit
