You just found that Plant A and Plant B will be the same height after 7.5 months. How tall will they each be at that time? You can substitute 7.5 for t in Plant A’s or Plant B’s expression to help you solve. Solve on paper, then enter your answer on Zearn.

Question

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

t
=
7.5
Plant A and Plant B will each be
cm after 7.5 months.

Answer 1

To find the height of Plant A and Plant B after 7.5 months, we need to substitute \( t = 7.5 \) into the height expressions for both plants.

Plant A's height: \[ H_A = 25 + 10t \] Substituting \( t = 7.5 \): \[ H_A = 25 + 10(7.5) = 25 + 75 = 100 \]

Plant B's height: \[ H_B = 10 + 12t \] Substituting \( t = 7.5 \): \[ H_B = 10 + 12(7.5) = 10 + 90 = 100 \]

Thus, both Plant A and Plant B will be 100 cm tall after 7.5 months.