Warm-Up 82
80
1. The value of y
varies directly with
X. When y = 6.5, X
= 4. What is the
value of y when x
is 12?
78
Temperature (°F)
76
g
74
72
2. W
inter

or

Step-by-step explanation:

We know that and are directly proportional. Therefore, using the given information, we can set up the following proportion:

Solving for , we get:

(Cross-Products Property)

(Simplify)

(Divide both sides of the equation by to get rid of 's coefficient)

or (Simplify)

Hope this helps!

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:

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph