Question

if a walleye fish has a length of x inches, where x is between 30 and 35 inches, its weight W in pounds can be estimated by W(x)=1.11x-23.3

a) What length of walleye weighs 12 pounds?


b) What length of walleye weigh less than 12 pounds?

Answer 1

W(x) = 1.11x - 23.3

X is length in inches and W is weight in pounds.

a) They give you W as 12 pounds. Put W = 12 in the above equation and solve for x.

I will tell you part b after yo do part a.

Answer 2

12=1.11x-23.3
31.8=x

Answer 3

Good!

Answer 4

so thats the answer to a?

Answer 5

You just solved it!
You got x = 31.8. So the answer is 31.8 inches.
A walleye fish of length 31.8 inches will weigh 12 pounds.

Answer 6

Looking at the equation (and also from common experience) we can see that as the length of walleye fish increases the weight will increase too.

For part a) you found a walleye fish of length 31.8 inches will weigh 12 pounds.
So what length of walleye fish will weigh less than 12 pounds?

Answer 7

10=1.11x-23.3
30=x??????

Answer 8

No. Where did you get the 10 for Weight?

You just found a walleye fish of length 31.8 inches will weigh 12 pounds.

We also know if the length of walleye fish increases the weight will increase too.
If the length of walleye fish decreases the weight will decrease too.

As yourself this: Will a walleye fish of length 33 inches weigh less than 12 pounds?
Will a walleye fish of length 34 inches weigh less than 12 pounds?
Will a walleye fish of length 31 inches weigh less than 12 pounds?
Will a walleye fish of length 30 inches weigh less than 12 pounds?

Answer 9

Compare each of my 4 questions above to:
A walleye fish of length 31.8 inches will weigh 12 pounds.

Answer 10

If the length is more than 31.8 inches it will weigh more than 12 pounds.
If the length is less than 31.8 inches it will weigh less than 12 pounds.

So the answer to part b) is: All walleye fish whose length < 31.8 inches will weigh less than 12 pounds.

Answer 11

alright thanks

Answer 12

yw