Question

Please help me with this word problem. I posted it below. It is #15

Answer 1

Linear Equations look like this:

y = mx + b

You have two parameters that you need to find. Use the two examples to find the parameters.

If x = Temperature and
If y = Chirps per Minute, then

113 = m(70) + b

Populate the equation with the other sample data and solve the system for m and b.

Answer 2

Idk if I did it right. I found m by the slope formula since they gave x and y then I used that as m and then put it into the formula y-y1=m (x - x1) to get the equation y=6x-307. After I solved for x to get x=307/6 I know what I'm doing is wrong but cant figure out how they got the answer t=1/6n+307/6. So frustrating haha

Answer 3

What do you mean you can't figure it out? Go through it slowly and track it down!

113 = m(70) + b
173 = m(80) + b

Subtracting the top from the bottom

60 = 10m and m = 1/6

How did you get 6? There's your problem, right there.

Answer 4

I didnt think of that what I did was put the equation in the formula (y2-y1)/(x2-x1) to get 6 then i plugged 6 in y=mx+b so it looked like
113=6(70)+b i solved and got -307

Wait if you have
60=10m
Wouldn't that still equal 6 because if your finding m and have qom wouldn't you divide the 60/10=m which equals 6? So how would it be 1/6? I'm sorry I'm just lost I'm not very good at word problem....

Answer 5

This is the part you missed:

If x = Temperature and
If y = Chirps per Minute, then

I FIRST wrote down good and clear definitions.

Answer 6

That's what you plug into the y=mx+b right. That's where x = temp and y=cpm ok I get that so far. But then you subtracted the 2 equations you plugged the different temps and cpm. I get that so far but I don't understand still how you got 1/6 because if you did have 60=10 to get me you divide 10 to 60 and get 6 so how did it become 1/6? And let's say you get 1/6 would you plug that into one of the equations to get b? And I understand you wrote the definitions but I am still not grasping the idea of what's going on. That's why I'm asking for guidance so I could fully understand what's going on.

Answer 7

If x = Temperature and
If y = Chirps per Minute

We also need to specify:

(x1,y1) = (70,113)
(x2,y2) = (80,173)

Now, we can do it under observation and not make any errors.

y2 - y1 = 173-113 = 60
x2 - x1 = 80-70 = 10

Slope = 60/10 = 6

If you define it the other way...

If y = Temperature and
If x = Chirps per Minute

Then we have:

We also need to specify:

(x1,y1) = (113,70)
(x2,y2) = (173,80)

and

y2 - y1 = 80-70 = 10
x2 - x1 = 173-113 = 60

Slope = 10/60 = 1/6

The REAL secret is simply to WRITE DOWN your definitions so you don't become confused along the way and forget what you are doing.

Really, it's okay to do it any way at all. Unique answers do NOT care how you find them. Just be clear and consistent.

Answer 8

That makes more sense I realized earlier you actually wrote x=temp and y= chirps per min. I think that's what confused me. That's why I kept getting 6 for my m. Now to find b I would plug in a x and a y and plug into the m since we now have it then solve for b? If I do that then I get b=51.17. I don't know what I'm still doing wrong when the final answer is t=1/6n+307/6

Answer 9

Nvm it's the right answer in decimal form.... i feel really stupid now... Thank you for all your help it makes a lot more sense!