Algebra 2 Word Problem Help?
The number of times a cricket chirps per minute can be predicted using the formula n=4(F-40), where n is the number of chirps per minute and F is the Fahrenheit temperature. The Celsius scale for temperature can be converted to Fahrenheit using F=9/5C+32. Find the number of cricket chirps per minute as a function of Celsius temperature.
Please help I am not that good with word problems and don't get it.
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Answers & Comments
State your 2 equations:
n=4(F-40)
F=9/5C+32
You want n in terms of C.
You have n in terms of F and F in terms of C.
So substitute C for F:
n=4((9/5C+32)-40)
Simplifying and evaluating:
n=4(9/5C-8)
n=36/5C-2
So, the number of times a cricket chirps per minute as a function of Celsius temperature is:
n=(36/5)C-2
It is first asking you to convert fahrenheit temperature to celsius. It gives you the formula to do so. F = 9/5C + 32. So, if we plug that in for F in the equation we get n=4[(9/5C+32)-40]
To simplify this further, it becomes n=4(9/5C-8). All they are asking you for is the function or the equation, you don't have to solve anything, so your answer is complete.