Question

A skin care manufacture produces 85 g canister of skin balm. Any canister whose weight differs by more that 0.05 g cannot be shipped out. Choose the equation that would find the maximum weight of an acceptable canister, y.

Answer 1

`|y-85|\leq 0.05`

Explanation:

We have been given that a skin care manufacture produces 85 g canister of skin balm. Any canister whose weight differs by more that 0.05 g cannot be shipped out.

To write an equation that would find the maximum weight of an acceptable canister (y) we will use an absolute value equation as the weight of an acceptable balm canister cannot be more than 85+0.05 and it cannot be less than 85-0.05.

This information can be expressed as
`85-0.05\leq y\leq 85+0.05`.

Subtracting 85 from all the sides we will get,

`-0.05\leq (y-85)\leq 0.05`

Now using the definition of absolute value symbol we will get,

`|y-85|\leq 0.05`

Therefore, the equation representing the maximum weight of an acceptable canister(y) is
`|y-85|\leq 0.05`.