Ask Question
16 May, 17:37

Six years after a tree was planted, its height was 7 feet. Nine years after it was planted, its height was 16 feet. Which of the following equations gives the height y, in feet, of the tree after x years if the tree grows at a constant rate? Check all of the boxes that apply.

+3
Answers (1)
  1. 16 May, 17:42
    0
    Considering that the grows at a constant rate we can form an equation where x = how many years after it was planted

    and y = its height

    Now we just need to find how many feet it grows each year. To do that we just need to compare its height from a certain age to another:

    6 years after it was planted : 7 feet,

    so x=6 and y = 7

    9 years after it was planted: 16 feet

    so x = 9 y=16

    With thay we can conclude that in 3 years, the tree grew 9 feet. To discover how much the tree grow each year we just nee to divide 9 feet by 3 years which is 3 feet every year.

    To write the equatopn now we just need to find the y-intercept which we can discover by setting x to 0:

    If in 6 years after the tree was planted it is 7 feet long, we can discover how long it was when it was planted by subtracting 6 years of growth (The slope) which is 3

    7 - 6 (years) * 3 (feet the tree grow each year)

    7 - 18 = - 11

    The tree was - 11 feet long when it was planted

    which is our y-intercept

    (I know it doesnt make sense, but if you apply to a graph it will make more sense)

    Now we can make the equation

    y = 3x - 11
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Six years after a tree was planted, its height was 7 feet. Nine years after it was planted, its height was 16 feet. Which of the following ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers