Respuesta :
Answer:
Option B - [tex]y=3x[/tex]
Step-by-step explanation:
Given : It's a graph with the points
(0.5, 1.5)
(2, 6)
(3, 9)
(5, 15)
To find : Which of the following is the algebraic expression that best describes the height y, if x is the width?
Solution :
To find the algebraic expression we substitute the points in both equations.
A) [tex]y=x+3[/tex]
Put x=0.5
[tex]y=0.5+3=3.5[/tex]
Not matched with first point.
So, reject A.
B) [tex]y=3x[/tex]
Put x=0.5
[tex]y=3\times 0.5=1.5[/tex]
Put x=2
[tex]y=3\times 2=6[/tex]
Put x=3
[tex]y=3\times 3=9[/tex]
Put x=5
[tex]y=3\times 5=15[/tex]
All the points are satisfied by the equation [tex]y=3x[/tex].
Therefore, The best description of algebraic expression is option B - [tex]y=3x[/tex]
