This is the volume of the sphere & is not at all a linear function.
A linear function of the form of y=kx (k is a given number/coefficient) where
y & x grow at the same rate. Then whatever the input (x) it will generate an output (y) always in the ration y/x, whereas v=4/3 πr³ (coefficient =k =4/3(π), if r increase by 2 units v will increase by 2³ =8 & for r = 3, v increase by 3³ =27.
In short v increases quicker than r. No it's not a linear function
Answer: last option
Step-by-step explanation:
You know that the weight of his pumpkin 4.9 pounds and that, if he guesses its weight within 0.3 pounds, he will get the pumpkin for free.
Then, to find the minimum weight he can guess in order to get his pumpkin for free, it's necessary to write the expression:
![x-0.3=4.9](https://tex.z-dn.net/?f=x-0.3%3D4.9)
Rewriting it:
![x-4.9=0.3](https://tex.z-dn.net/?f=x-4.9%3D0.3)
To find the maximum weight he can guess in order to get his pumpkin for free, it's necessary to write the expression:
![x+0.3=4.9](https://tex.z-dn.net/?f=x%2B0.3%3D4.9)
Rewriting it:
![x-4.9=-0.3](https://tex.z-dn.net/?f=x-4.9%3D-0.3)
By using and X,Y grid starting at zero and then making its way to 1,4 for example showing that for every 1 X there are 4 Y's