Final answer:
To find the unit rate in miles per gallon, divide the distance traveled, 45.5 miles, by the gasoline used, converted to 7/3 gallons, resulting in a unit rate of 19.5 miles per gallon.
Step-by-step explanation:
To calculate the unit rate in miles per gallon for the pickup truck, we need to divide the distance traveled by the amount of gasoline used. In this case, the truck travels 45.5 miles using 2 1/3 gallons of gasoline.
First, we convert 2 1/3 gallons to an improper fraction which is 2*3+1/3 = 7/3 gallons. Now we use this to find the unit rate:
Miles per gallon = Distance ÷ Gallons
Miles per gallon = 45.5 miles ÷ 7/3 gallons
Miles per gallon = 45.5 miles ÷ (3/7) gallons (Inverting and multiplying the second fraction)
Miles per gallon = 45.5 miles * (3/7)
Miles per gallon = 19.5 miles per gallon
To find the unit rate of miles per gallon, we need to divide the number of miles traveled by the number of gallons of gasoline used. In this case, the pickup truck traveled 45.5 miles and used 2 1/3 gallons of gasoline.
To find the unit rate, we divide 45.5 miles by 2 1/3 gallons. Remember to convert the mixed number 2 1/3 to an improper fraction first. The improper fraction equivalent of 2 1/3 is 7/3.
Now we can divide 45.5 by 7/3. To divide by a fraction, we multiply by its reciprocal. So, the unit rate is 45.5 x 3/7 = 136.5/7 = 19.5 miles per gallon.