Question

POSS Noah is growing three different types of trees. He is keeping track of the height of each tree over time. • This equation represents the helght (In feet) of the first tree over m months. h = 1.5m. • The second tree's information is in the table: • This graph shows how long, in months, it takes the third tree to grow h feet. 14 time (months) height of tree (feet) 12 10 (5.10) 2 5 8 height in feet (4,8) 4 10 5 12.5 12,4 2 8 20 2 5 6 7 time in months Which tree is growing the fastest? Explain how you know. В І I 0 / 1000

Answer 1

Step-by-step explanation:

To know which tree is growing the fastest, we need to find the constant of proportionality for each tree.

If we have an equation with the form y = kx, k is the constant of proportionality.

If we hthe consttant o,f rpoprpoproportionality is 1.5 and , so e.

So, for the first tree we have the equation h = 1.5m. It means that every month the tree grows 1.5 ft or that the unit rate of this tree is 1.5 feet per month

divide one value of heigh by its repsespective value of time to found the constant of prheightionality, . So, for the second table, we get that, we get that k is equlal to:ree

`k=\frac{5\text{ ft}}{2\text{ months}}=2.5\text{ ft per month}`

Finally, for the third tree, we can

For the second tree, the information is on the table, so we need to month