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Use the equation to solve for t to find how many months it will take for Plant A and Plant B to be the same height.

Plant A's height after t months: 25+10t
Plant B's height after t months: 10+12t
25+10t
=
10+12t

t
=

1 answer

To find how many months it will take for Plant A and Plant B to be the same height, we set the equations for their heights equal to each other:

\[ 25 + 10t = 10 + 12t \]

Now, let's solve for \( t \).

  1. First, subtract \( 10t \) from both sides: \[ 25 = 10 + 2t \]

  2. Next, subtract 10 from both sides: \[ 15 = 2t \]

  3. Now, divide both sides by 2: \[ t = \frac{15}{2} = 7.5 \]

So, it will take \( t = 7.5 \) months for Plant A and Plant B to be the same height.