Question

HELP ME PWEASEE

Answer 1

Answer:

$b=\dfrac{1}{5}a$.

Step-by-step 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).

$3=k(15)$

$k=\dfrac{3}{15}=\dfrac{1}{5}$

Substitute $k=\dfrac{1}{5}$ in (1).

$b=\dfrac{1}{5}a$

Therefore, the required function is $b=\dfrac{1}{5}a$.