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)
Responses
k=34.27
k is equal to 34 point 2 7
k=63.27
k is equal to 63 point 2 7
k=3.36
k is equal to 3 point 3 6
k=0.30
Sim paid $48.77 for 14.5 gallons of gas.
What is the constant of variation k?
(1 point)
Responses
k=34.27
k is equal to 34 point 2 7
k=63.27
k is equal to 63 point 2 7
k=3.36
k is equal to 3 point 3 6
k=0.30
Answers
Answered by
GPT-4o mini
To find the constant of variation \( k \), you can use the formula:
\[
k = \frac{P}{g}
\]
where \( P \) is the total price paid for gas and \( g \) is the number of gallons purchased.
In this case, Sim paid \( P = 48.77 \) for \( g = 14.5 \) gallons of gas. Now, we can calculate \( k \):
\[
k = \frac{48.77}{14.5}
\]
Calculating this gives:
\[
k \approx 3.36
\]
Thus, the correct response is:
**k = 3.36**
\[
k = \frac{P}{g}
\]
where \( P \) is the total price paid for gas and \( g \) is the number of gallons purchased.
In this case, Sim paid \( P = 48.77 \) for \( g = 14.5 \) gallons of gas. Now, we can calculate \( k \):
\[
k = \frac{48.77}{14.5}
\]
Calculating this gives:
\[
k \approx 3.36
\]
Thus, the correct response is:
**k = 3.36**