What is the rate of change for this function / careful / how can it be interpreted using the problem context?

Step-by-step explanation:

FORMATION OF TABLE FOR THE FUNCTION  

As t represents the temperature in degrees Fahrenheit and c represents the number of cricket chirps per minute.

Considering the function

when

then  

when

then

when

then

when

then

when

then

when

then

when

then

So                                          

Lets form the data table for this function based on the determined values

PART 1)  

Considering the function

As we know that

when

then

The appropriate logic is that the speed at which cricket chirps is based on the temperature. The table table also indicates that as the temperature t increases, the number of cricket chirps also increases.  

PART 2)  

Considering the two points

It logically means for every increase of units in (temperature in degrees Fahrenheit), the value of (number of chirps) is increasing to units.

Thus, the rate of change will be .

Part 3)

Considering the function

The data table for this function

Putting in the function brings the value of as .

i.e.

Yes, it does make sense.

Its logical meaning is that at the start, when the value of was temperature in degrees Fahrenheit, then the value of (number of chirps per minute) was .

step-by-step explanation: