Question

10. In July, Ariel recorded the height of a pine tree and how quickly it was expected to grow in thenext several monthsQ. Write an equation for the table.Height ofTree (inches)b. What does theторе represent608c. What does the y-intercept represent?

Answer 1

Using the table to find the equation:

Let x is the number of months, and y is the height of the tree

The general form of the line y = mx + c

where m is the slope and c is the y-intercept

So, at the beginning at x = 0 , y = 600

So,

600 = m * 0 + c

c = 600

When x = 3 , y = 602

so,

602 = 3m + 600

solve to find m

602 - 600 = 3m

3m = 2

m = 2/3

So,

`y=(2)/(3)x+600`

b. What does the slope represent?

The slope represents the rate of growth each month

which mean the tree grow (2/3) inches per month

c. What does the y-intercept represent?

y-intercept represents the first height of the tree