The formula to find volume is volume = length x width x height
So to find the volume of a recycling bin, multiply 3/4 x 1 x 1 1/2 ft
Anything x 1 = itself, so 3/4 x 1 = 3/4
Before multiplying 3/4 and 1 1/2 to make it easier I’m going to make 1 1/2 into an improper fraction instead of a mixed number. To do this I multiply the outside number (1) by the denominator (2), and then add that number to the numerator (1)
1x2 = 2 2+1 = 3 1 1/2 = 3/2
Now I can multiply 3/4 and 3/2
Multiply the numerators: 3 x 3 = 9 Multiply the denominators: 4 x 2 = 8
3/4 x 3/2 = 9/8 9/8 is equivalent to 1 1/8, depending on if your teacher likes your answer to be a mixed number or not.
To find the equation take the slope 2/3
y-y(1)=m(x-x(1)
y-4=2/3(x-8) = 2/3x-16/3
Next solve for y
y=2/3x-16/3 +4(turn 4 into a fraction with a common denominator)
y=2/3x-16/3 + 12/3
y=2/3x-4/3
