Question

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

It's a graph with the points
(0.5, 1.5)
(2, 6)
(3, 9)
(5, 15)

The answer choices are
A. Y=x+3
B. Y=3x

Answer 1

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

Answer 2

Option B -
`y=3x`

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* 0.5=1.5`

Put x=2

`y=3* 2=6`

Put x=3

`y=3* 3=9`

Put x=5

`y=3* 5=15`

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

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