Question

Aldo has a tree in his backyard. The tree grows 50 centimeters each year. Since the tree started growing, Aldo has trimmed 24 centimeters off its height. The goal for the trees height is given by 50x-24>276, where x is the number of years the tree grows

Answer 1

Explanation:

To solve for x in the inequality 50x - 24 > 276, we can first add 24 to both sides of the inequality to get:

50x > 300

Then, we can divide both sides by 50 to get:

x > 6

Therefore, the tree must grow for more than 6 years in order for its height to be greater than 276 centimeters (after subtracting the 24 centimeters that Aldo trimmed).

For example, if the tree has been growing for 7 years, its height would be:

50 cm/year x 7 years = 350 cm

And after subtracting the 24 cm that Aldo trimmed, the height of the tree would be:

350 cm - 24 cm = 326 cm

Since 326 cm is greater than 276 cm, the goal for the tree's height has been achieved after 7 years of growth.