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deff fn [24]
4 years ago
6

determine whether y varies directly with x. if so, find the constant of variation and write the equation.​

Mathematics
2 answers:
Nat2105 [25]4 years ago
4 0

For this case we have that if and it varies directly with x, we can write the equation as:

y = kx

Where:

k: It is the constant of proportionality.

According to the table:

-3 = k (1)

Clearing k:

k = -3

Then,y = -3x

Answer:

Option C

I am Lyosha [343]4 years ago
3 0

Answer:

y varies directly with x

k = -3

The equation is:

y = -3x

Step-by-step explanation:

We can say that and it varies directly with x if it is fulfilled that

y = kx

Where k is a constant known as the constant of variation.

So

\frac{y}{x} = k

This means that if y varies with x then the division of y between x should always be equal to a constant value k.

We must test this for the values shown in the table

\frac{-3}{1} = -3

\frac{-9}{3} = -3

\frac{-15}{5} = -3

The quotient of \frac{y}{x} is always equal to -3. Then k = -3 and the variation of y with x is direct

The equation is:

y = -3x

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