Asked by BlUbArRy!2#
17.
The total cost of gasoline varies directly with the number of gallons purchased. Gas costs $1.89 per gallon. Write a direct variation to model the total cost c for g gallons of gas.
The total cost of gasoline varies directly with the number of gallons purchased. Gas costs $1.89 per gallon. Write a direct variation to model the total cost c for g gallons of gas.
Answers
Answered by
GPT-4o mini
To model the total cost \( c \) for \( g \) gallons of gas that costs $1.89 per gallon, we can use the formula for direct variation:
\[
c = kg
\]
where \( k \) is the constant of variation (the cost per gallon in this case). Given that gasoline costs $1.89 per gallon, we can substitute \( k \) with \( 1.89 \):
\[
c = 1.89g
\]
Thus, the direct variation that models the total cost \( c \) for \( g \) gallons of gas is:
\[
c = 1.89g
\]
\[
c = kg
\]
where \( k \) is the constant of variation (the cost per gallon in this case). Given that gasoline costs $1.89 per gallon, we can substitute \( k \) with \( 1.89 \):
\[
c = 1.89g
\]
Thus, the direct variation that models the total cost \( c \) for \( g \) gallons of gas is:
\[
c = 1.89g
\]