Question

HELP ME PWEASEE

Fifteen grams of chemical A is used to produce 3 grams of chemical B. Write an
equation for the amount of chemical B, measured in grams of chemical A, b = f(a), as a function of the amount of chemical, a.

Answer 1

`b=(1)/(5)a`.

Explanation:

We need to write an equation for the amount of chemical B as a function of the amount of chemical A.

`b=f(a)`

`b\propto a`

`b=ka` ...(1)

where, k is constant of proportionality.

It is given that fifteen grams of chemical A is used to produce 3 grams of chemical B. It means a=15 and b=3.

Substitute a=15 and b=3 in (1).

`3=k(15)`

`k=(3)/(15)=(1)/(5)`

Substitute
`k=(1)/(5)` in (1).

`b=(1)/(5)a`

Therefore, the required function is
`b=(1)/(5)a`.