Question

The price of gas varies directly with the number of gallons purchased.

Sim paid $48.77 for 14.5 gallons of gas.

What is the constant of variation K?

(1 point)

Ok-34.27

k=0.30

k3.36

Ok-63.27The price of gas varies directly with the number of gallons purchased.

Sim paid $48.77 for 14.5 gallons of gas.

What is the constant of variation K?

Answer 1

To find the constant of variation \( K \) when the price of gas varies directly with the number of gallons purchased, you can use the formula:

\[
K = \frac{\text{Price}}{\text{Gallons}}
\]

In this case, Sim paid $48.77 for 14.5 gallons of gas, so we can plug in those values:

\[
K = \frac{48.77}{14.5}
\]

Now, performing the division:

\[
K \approx \frac{48.77}{14.5} \approx 3.36
\]

So the constant of variation \( K \) is approximately \( 3.36 \).

The correct answer is \( K = 3.36 \).