Determine if the given rates are equivalent?
12 gallons of paint/8,329ft^2 =? 9 gallons of paint/1,240 ft^2
Divide 8329 by 12.
Divide 1240 by 9.
Are the answers the same?
no
To determine if the given rates are equivalent, we need to calculate the unit rate for each rate and compare them.
First, let's calculate the unit rate for the first rate:
Rate 1: 12 gallons of paint / 8,329ft^2
To calculate the unit rate, we divide the number of gallons of paint by the number of square feet:
Unit rate for Rate 1 = 12 gallons of paint / 8,329ft^2 = 0.001442 gallons/ft^2 (rounded to 6 decimal places)
Next, let's calculate the unit rate for the second rate:
Rate 2: 9 gallons of paint / 1,240 ft^2
Unit rate for Rate 2 = 9 gallons of paint / 1,240 ft^2 = 0.007258 gallons/ft^2 (rounded to 6 decimal places)
Now, we can compare the unit rates:
0.001442 gallons/ft^2 (Rate 1) vs. 0.007258 gallons/ft^2 (Rate 2)
Since the unit rates are different, we can conclude that the given rates are not equivalent.