Grace has been measuring a plant in her yard. The plant has grown 1 4 of an inch each month and gotten a total of 2 inches taller. How many months has Grace been measuring this plant?

the plant grew 2 inches in 28 months

8 months

Step-by-step explanation:

Each month it grows 1/4 of an inch, or if x represents months, we could say:

1/4x

We know that it got a total of 2 inches taller, so we can set the expression above equal to 2

1/4x=2

To solve for x, we need to get x by itself. Divide both sides by 1/4, or multiply both sides by the reciprocal of 1/4.

The reciprocal is the numerator and the denominator switched, 1/4-->4/1

4/1*1/4x=2*4/1

x=8

So, she was measuring for 8 months