Question

Which of the following is the algebraic expression that best describes the height y, if x is the width?

Answer 1

Answer:

Option B - $y=3x$                    

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) $y=x+3$

Put x=0.5

$y=0.5+3=3.5$

Not matched with first point.

So, reject A.

B) $y=3x$

Put x=0.5

$y=3\times 0.5=1.5$

Put x=2

$y=3\times 2=6$

Put x=3

$y=3\times 3=9$

Put x=5

$y=3\times 5=15$

All the points are satisfied by the equation $y=3x$.

Therefore, The best description of algebraic expression is option B - $y=3x$

Answer 2

The answer is y=3x my work is shown in the pic