Question

The equation y = 36 + 18x models the relationship

between the height y, in inches, of a typical golden
delicious apple tree and the number of years, x, after
it was planted. If the equation is graphed in the
xy-plane, what is indicated by the y-intercept of the
graph?
A) The age, in years, of a typical apple tree when it
is planted
B) The height, in inches, of a typical apple tree
when it is planted
C) The number of years it takes a typical apple tree
to grow
D) The number of inches a typical apple tree grows
each year

Answer 1

Option B) The height, in inches, of a typical apple tree

Explanation:

Let

x----> the number of years, after the tree was planted

y ---> the height in inches, of a typical golden delicious apple tree

we have

`y=36+18x`

Remember that

The y-intercept is the value of y when the value of x is equal to zero

In this problem

The y-intercept is the height of the tree when it was planted (x=0)