Which equations have a greater unit rate than the rate represented in the table? x y 3 2 6 4 9 6

Question

asked Jun 16, 2023 190k views

2 Answers

Alicia Tang · Answer 1 · 2023-06-16T19:05:15+0000

Slope of table

Slope

Any equation having slope greater than 2/3 has higher unit rate than that of table

Ace · Answer 2 · 2023-06-22T16:42:59+0000

Answer:

Any equation with a slope greater than ²/₃

Explanation:

Given table:

$\begin{array} c \cline{1-2} x & y \\\cline{1-2} 3 & 2 \\\cline{1-2} 6 & 4 \\\cline{1-2} 9 & 6 \\\cline{1-2} \end{array}$

The unit rate is a ratio that compares the first quantity to one unit of the second quantity. The unit rate is also the slope of a linear equation.

Linear equation

y = mx + b

where:

To find the slope, take two ordered pairs from the table:

$\sf let \: (x_1,y_1)=(3,2)$

$\sf let \: (x_2,y_2)=(6,4)$

Substitute them into the slope equation:

$\sf slope=(y_2-y_1)/(x_2-x_1)=(4-2)/(6-3)=(2)/(3)$

Therefore, the unit rate is ²/₃.

Any equation with a slope greater than ²/₃ is an equation with a greater unit rate than that represented in the given table.