Question

Steven is painting walls that are equal in size. He paints 1/6 of a wall in 3/10
of an hour. Using this
information, create an equation for the unit rate, r, that represents how much of a wall Steven paints in 1
hour.

Answer 1

To find the unit rate, we need to divide the amount of wall painted by the time taken.

Let x represent the amount of wall that Steven paints in 1 hour.

Given that he paints 1/6 of a wall in 3/10 of an hour, we can set up the equation:

(1/6) / (3/10) = x / 1

Simplify the left side of the equation by dividing 1/6 by 3/10:

(1/6) / (3/10) = (1/6) * (10/3) = 10/18 = 5/9

So, the equation for the unit rate, r, is:

5/9 = x / 1

Therefore, the unit rate r that represents how much of a wall Steven paints in 1 hour is 5/9.