Kevin went to the nursery and bought a 5 ft tall tree. after planting the tree, kevin made a table to record the height, h, of the tree, t years after it was planted.
t | 0 | 1
h | 5 | 6
use words to describe the relationship between the height of the tree and the number of years since it was planted.
use an equation to illustrate the relationship between the height of the tree and the number of years it has been planted.

Step-by-step explanation:

According to the problem, the initial condition if 5 feet tall, which represents the height of the tree at the moment Kevin bought it. Remember that the initial condition represents the independent term in the expression, that is, it's the term that doesn't multiply the variable.

According to the given table, after one year the tree grew one feet, so basically, the tree grows 1 feet per year, we can deduct this rate of change by calculating it

Now, using this ratio of change which is the slope of the linear relation, we can find the equation that models this problem by using the point-slope form. We are gonna use the point (0,5) from the given table

Where and . So, the expression is

details

step-by-step explanation:

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w