Plant A is 5 centimeters tall and growing at the rate of 3 centimeters a month. Plant B is 4 centimeters tall and growing at the rate of 4 centimeters a month. When will Plant B exceed the height of Plant A?

The answer is plant B will exceed plant A in two months at the height of 12 centimeters long.

Step-by-step explanation:

Rewrite plant A and B as a linear function

y=3x + 5

y=4x + 4

Then, let x represent the # of months

Next, try to increase the amount by one in both equations until plant B will exceed plant A

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1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!