The formula f= n/4 + 37 estimates the temperature f in degrees fahrenheit when crickets chirp n times per minute. use the formula to estimate the temperature when n = 75 chirps/min. round to the nearest whole number, if necessary. a) 52mc009-4.jpg b) 53mc009-3.jpg c) 56mc009-5.jpgd)58mc009-2.jpg

56°F

Step-by-step explanation:

Given : The formulaestimates the temperature F in degrees Fahrenheit when crickets chirp n times per minute.

To Find: Use the formula to estimate the  temperature when n = 75 chirps/min.

Solution:

Formula :

Where  F in degrees Fahrenheit when crickets chirp n times per minute.

Now we are supposed to substitute n = 75

So,  

Hence  the  temperature is 56°F when n = 75 chirps/min.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: