Question

The graph of a proportional relationship and an equation are shown.

What is the greater unit rate?

Answer 1

Graph has the greater unit rate.

Explanation:

From the graph attached,

Since, graph shows the proportional relationship,

y ∝ x

y = kx

Here, k = unit rate

If the line given in the graph passes through (0.2, 1.5)

Slope of this line will be,

k =
`(1.5)/(0.2)`

k = 7.5

Therefore, unit rate = 7.5

Equation of the line given in the question is,

`y=(11)/(2)x+3`

Comparing this equation with the y-intercept form of the equation,

`y=mx+b`

Slope of this line 'm' =
`(11)/(2)`

= 5.5

Unit rate of the given equation = 5.5

Therefore, graph has the greater unit rate.