What other points are on the line of direct variation through (5, 12)? Check all that apply.
Answers
Answer:
Step-by-step explanation:
Brainly.com
What is your question?
1
High SchoolMathematics 5 points
What other points are on the line of direct variation through (5, 12)? Check all that apply. (0, 0) (2.5, 6) (3, 10) (7.5, 18) (12.5, 24) (15, 36)
Ask for details Follow Report by Kxngshad 07/05/2017
Answer
Answered by
calculista
calculista
+3
grendeldekt and 3 more users found this answer helpful
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx
in this problem we have
the point (5,12) is on the line of direct variation
so
Find the constant of proportionality k
y/x=k-------> substitute ------> k=12/5
the equation is
y=\frac{12}{5}x
Remember that
If a point is on the line of direct variation
then
the point must satisfy the equation of direct variation
we're proceeding to verify each point
case A) point (0,0)
x=0\ y=0
Substitute the value of x and y in the direct variation equation
0=\frac{12}{5}*0
0=0 -------> is true
therefore
the point (0,0) is on the line of direct variation
case B) point (2.5,6)
x=2.5\ y=6
Substitute the value of x and y in the direct variation equation
6=\frac{12}{5}*2.5
6=6 -------> is true
therefore
the point (2.5,6) is on the line of direct variation
case C) point (3,10)
x=3\ y=10
Substitute the value of x and y in the direct variation equation
10=\frac{12}{5}*3
10=7.2 -------> is not true
therefore
the point (3,10) is not on the line of direct variation
case D) point (7.5,18)
x=7.5\ y=18
Substitute the value of x and y in the direct variation equation
18=\frac{12}{5}*7.5
18=18 -------> is true
therefore
the point (7.5,18) is on the line of direct variation
case E) point (12.5,24)
x=12.5\ y=24
Substitute the value of x and y in the direct variation equation
24=\frac{12}{5}*12.5
18=30 -------> is not true
therefore
the point (12.5,24) is not on the line of direct variation
case F) point (15,36)
x=15\ y=36
Substitute the value of x and y in the direct variation equation
36=\frac{12}{5}*15
36=36 -------> is true
therefore
the point (15,36) is on the line of direct variation
therefore
the answer is
(0,0)
(2.5,6)
(7.5,18)
(15,36)
Answer: A,B,D,F
Step-by-step explanation:
A) 0,0
B) 2.5,6
D) 7.5,18
F) 15,36
Got it right on edge 2021