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Deshaun has a tree in his backyard. The tree grows 25 centimeters each year. Since the tree started...

Deshaun has a tree in his backyard. The tree grows 25 centimeters each year. Since the tree started growing, Deshaun has trimmed 16 centimeters off its height. The goal for the tree's height is given by 25x - 16 > 234, where x is the number of years the tree grows.
Complete the parts below.
(a) Solve the given inequality and graph the solution on the number line below.
(b) Choose and complete the statement that best describes the solution.
- To meet the goal, the tree must be more than [] centimeters tall. This will take more than [] years.
- To meet the goal, the tree must be more than [] centimeters tall. This will take less than [] years.
- To meet the goal, the tree must be less than [] centimeters tall. This will take more than [] years.

Answer

(a) Solve the inequality: 25x - 16 > 234

  1. Add 16 to both sides: 25x > 250
  2. Divide both sides by 25: x > 10

The solution is x > 10. Graph this on the number line by shading all numbers greater than 10.

(b) Choose and complete the statement:

  1. To meet the goal, the tree must be more than 250 centimeters tall. This will take more than 10 years.

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