math helpppp!!!!!?

Question

this has to do with a cricket problem. here it is... answer right away, i need it soon!!!

40 50 60 70 80 90 100 110 120 130 140 150 160 170
50 60 70 80

[the 50 is below the 4, the 60 is below the 80, the 70 is below the 120, and the 80 is below the 170]

the top row of numbers is the chirps per minute, and the bottom row is the temp. when the cricket chirps that much. i cant find a continuous pattern, plz help by filling out the rest of the bottom of the table thanx so much!!

Answer 1

You have four data points:
(40,50)
(80,60)
(120,70)
(160,80)
where the first coordinate is the number of chirps and the second coordinate is the corresponding temperature.

Take the first two points and calculate
(difference in temperature)/(difference in chirps)
= (60-50)/(80-40)
= 0.25

Verify that you get 0.25 no matter which two points you use.
That tells you that the function is linear and
temp = m(chirps) + b
where
slope m = 0.25

Use a data point to determine b:
50 = 0.25(40) + b
b = 40

So the function is
temp = 0.25(chirps) + 40
http://i233.photobucket.com/albums/ee195/DWRead/misery_business39.jpg

Answer 2

Let's try it sideways:
40 --> 50
50
60
70
80 --> 60
90
100
110
120 --> 70
130
140
150
160 --> 80
170

Let's assume a linear relationship between the two.

If you notice that you have four numbers to the next temperature. So take the difference (10) and divide by 4 = 2½.

So each temperature should go up 2½ degrees.
40 --> 50
50 --> 52½
60 --> 55
70 --> 57½
80 --> 60
90 --> 62½
100 --> 65
110 --> 67½
120 --> 70
130 --> 72½
140 --> 75
150 --> 77½
160 --> 80
170 --> 82½

Now to figure out a formula...

Let x be the number of chirps. Let y be the temperature.

Take a couple of known "points" say (40, 50) and (80, 60)

To figure the "slope" you would take (y2 - y1) / (x2 - x1):

60 - 50
------------ = 10/40 = 1/4
80 - 40

We sort of noticed that before. The temperature goes up 10 degrees for every 40 chirps... 10/40 = 1/4

So write:
y = (1/4)x + b

Now let's just solve for b:
We know that (40, 50) should work:

50 = (1/4)40 + b
50 = 10 + b

50 - 10 = b
b = 40

So the final formula should be:
y = (1/4)x + 40

Let's test it with some values:
x = 80
y = (1/4)80 + 40
y = 20 + 40
y = 60
This matches with what we were given...

x = 110
y = (1/4)110 + 40
y = 27.5 + 40
y = 67.5
This matches with what we figured out before.

P.S. I think you made one typo... the 80 should be below the 160 in your chart...

Answer 3

every 10 degrees rise equates to 40 chirps per minute. So every 2.5 degrees rise equates to 10 chirps per minute.

Answer 4

huh??