Mathematics: At 82°f, a certain insect chirps at a rate of 61 times per minute, and at 91°f, they chirp 124 times per minute. write an equation in slope-intercept form that represents the situation.

The sequence DIVERGES. It has no limit or is infinite.The following value is twice the previous value and it will continue on and on and on.A sequence is convergent when it has a limit. ...

At 82°f, a certain insect chirps at a rate of - id82613940791, alejandrosaaved1

Ответ:

jcarver2494

10.01.2022

Mathematics

y=7x-513

Step-by-step explanation:

Let

x----> the temperature in degrees Fahrenheit

y ---->insect chirping rate in times per minute

we have the ordered pairs

(82,61) and (91,124)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{124-61}{91-82}$

$m=\frac{63}{9}=7$

step 2

Find the equation of the line

we know that

The equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=7 ---> the units are chirps per minute/degree F

take the point (82,61)

substitute and solve for b

61=7(82)+b

61=574+b

b=-513

substitute

y=7x-513

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At 82°f, a certain insect chirps at a rate of 61 times per minute, and at 91°f, they chirp 124 times per minute. write an equation in slope-intercept form that represents the situation.

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