Question

..........................................................................................................................

Answer 1

• B) m = (9/10)v

------------------------

Direct variation equation in terms of given values:

• m = kv, where k- coefficient

10 cm³ of oil has a mass of 9 grams:

• v = 10, m = 9

Substitute values of m and v and find the value of k:

• 9 = 10k
• k = 9/10

Substitute the value of k back to initial equation:

• m = (9/10)v

The matching choice is B.

Answer 2

`m= (9)/(10)*v`

Explanation:

Since the mass of cooking oil is directly proportional to the oil's volume, we can write the following equation:

m = kv

where k is the constant of proportionality.

We know that when v = 10, m = 9, so we can plug these values into the equation to solve for k:

9 = k * 10

k =
`(9)/(10)`

Now, we can plug k =
`(9)/(10)` into the original equation to get the following equation:

m =
`(9)/(10)` v