Question

Biologists have found that the number of chirps some types of cricket make per minute depends upon the temperature this relationship can be represented by a linear function when the temperature is 60° Fahrenheit to crickets chirp 92 times per minute if it is 75 Fahrenheit they will chirp 152 times per minute what will the number of chirps be per minute if the temperature is 80 degrees Fahrenheit

Answer 1

Answer: Crickets make 172 chirps/min at 80 degrees Fahrenheit

Explanation:

Step 1

Using the point slope formulae for Linear functions , we have that

y - y1 = m(x - x1)

where x and y are two points representing the temperature and chirps /min respectively

And

m= slope

Step 2 : Finding the slope , m

where x1=60

y1=92

x2= 75

y2=152

m= (y2-y1)/ (x2-x1)

= (152- 92)/(75-60)

=60/15 =4

Bringing down the point/slope formula and imputing the known values to find our equation to show the relationship cricket make per minute and the temperature

y - y1 = m(x - x1)

y - 92= 4(x - 60)

y - 92 = 4x -240

y = 4x - 240 + 92

y = 4x - 148

Step 3

To find the number of chirps be per minute (y) if the temperature is 80 degrees Fahrenheit( x)

y = 4(80) - 160

y = 320 - 148

y = 172 chirps/min at 80 degrees Fahrenheit