Question

I need help with this 4A. Each vial can hold several doses of a vaccine’s active ingredient. Each dose of the Pfizer vaccine contains 0.075 ml of its active ingredient. One vial holds a total of v milliliters of liquid. Write an expression to find how many doses each vial holds.4B. Evaluate it. One vial of the Pfizer vaccine holds 0.45ml?

Answer 1

Hello! This exercise asks us to write an expression to find how many doses each vial holds.

A. We can write it as:

v = f(x) = 0.075x

Explanation: Each dose contains 0.075ml of the active ingredient, but we don't know the number of doses contained in one vial, we just know that it holds v ml. So, we can write this expression as v = 0.075x. It means that the amount of 0.075 will be multiplied 'x times' according to the doses.

B. One vial of the Pfizer vaccine holds 0.45ml?

Let's use the equation that I mentioned in alternative A:

v = f(x) = 0.075x

0.45 = 0.075x

x = 0.45/0.075

x = 6

So, the answer is yes, one vial with 0.45ml will hold 6 doses of the vaccine.