Write a proportion that is equivalent to the statement: If 3 gallons of gasoline cost $5.37, then 8 gallons will cost $14.32.
3:5.35::8:14.32
Normally, we do this as ratios.
3/5.35=8/14.32
To write a proportion that is equivalent to the given statement, we need to establish a ratio between the gallons of gasoline and the cost.
Let's assign variables to represent the gallons and the cost.
Let `g` represent the gallons of gasoline, and let `c` represent the cost.
According to the given statement:
If 3 gallons of gasoline cost $5.37, we can represent this as the ratio:
3 gallons / $5.37 = g / c
Since we want to find the cost (`c`) of 8 gallons of gasoline, we can rewrite the proportion with the new information:
3 gallons / $5.37 = 8 gallons / c
Now, to solve for `c`, we can cross multiply.
3 * c = 8 * $5.37
3c = $42.96
Finally, to isolate `c`, we divide both sides of the equation by 3:
c = $42.96 / 3
c ≈ $14.32
Therefore, the proportion that is equivalent to the given statement is:
3 gallons / $5.37 = 8 gallons / $14.32