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

Question

Sim paid $48.77 for ​​​​​​​14.5 gallons of gas.

What is the constant of variation k?

(1 point)
Responses

k=0.30
k is equal to 0 point 3 0

k=63.27
k is equal to 63 point 2 7

k=3.36
k is equal to 3 point 3 6

k=34.27

Answer 1

To find the constant of variation \( k \), we can use the formula for direct variation, which is:

\[ k = \frac{P}{G} \]

where \( P \) is the total price paid and \( G \) is the number of gallons purchased.

In this case:

• \( P = 48.77 \)
• \( G = 14.5 \)

Now we can calculate \( k \):

\[ k = \frac{48.77}{14.5} \approx 3.36 \]

Therefore, the constant of variation \( k \) is \( 3.36 \).

So the correct response is:

k = 3.36.