Question

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

Answer 1

`y=2(1)/(6)` or
`(13)/(6)`

Explanation:

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

`(6.5)/(12)=(y)/(4)`

Solving for
`y`, we get:

`(6.5)/(12)=(y)/(4)`

`12*y=6.5*4` (Cross-Products Property)

`12y=26` (Simplify)

`(12y)/(12) =(26)/(12)` (Divide both sides of the equation by
`12` to get rid of
`y`'s coefficient)

`y=2(1)/(6)` or
`(13)/(6)` (Simplify)

Hope this helps!