WRITE A PROPORTIAN THAT IS EQUIVALENT TO THE STATMENT : IF 3 GALLONS OF GASOLINE COST $5.37, THEN 8 GALLONS WILL COST $ 14.32.
3 gallons/$5.37 = 8 gallons/$14.32
(you can easily test if a proportion that you wrote is true by taking the cross-products. These cross-products should be equal.
i.e. 3x14.32 = 8x5.37 )
To write a proportional statement that is equivalent to the given statement, we can use the concept of unit rates.
The given statement states that "If 3 gallons of gasoline cost $5.37, then 8 gallons will cost $14.32."
To find the unit rate, we divide the cost of the gasoline by the number of gallons.
For 3 gallons, the cost is $5.37, so the unit rate is:
$5.37 / 3 gallons = $1.79/gallon
Now, we can use this unit rate to determine the cost of 8 gallons.
For 8 gallons:
8 gallons * $1.79/gallon = $14.32
So, the equivalent proportional statement would be: "If 3 gallons of gasoline cost $5.37, then 8 gallons will cost $14.32."