Question

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

What is the greater unit rate?

Answer 1

Answer:

Graph has the greater unit rate.

Step-by-step 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 = $\frac{1.5}{0.2}$

k = 7.5

Therefore, unit rate = 7.5

Equation of the line given in the question is,

$y=\frac{11}{2}x+3$

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

$y=mx+b$

Slope of this line 'm' = $\frac{11}{2}$

                                  = 5.5

Unit rate of the given equation = 5.5

Therefore, graph has the greater unit rate.