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

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

Step-by-step 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

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)

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)