Question

The unit rate of change of yyy with respect to xxx is the amount yyy changes for a change of one unit in xxx.

The table below represents a proportional relationship with a constant unit rate of change of yyy with respect to xxx.
Which describes a greater unit rate of change of yyy with respect to xxx, the equation y=4.5xy=4.5xy, equals, 4, point, 5, x or the table?
xxx 222 444 666
yyy 999 181818 272727
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
The table

(Choice B)
B
The equation

(Choice C)
C
The unit rates are the same.

Answer 1

b)

the equation

Answer 2

9514 1404 393

Answer:

C The unit rates are the same.

Explanation:

The rate of change for the equation is the coefficient of x: 4.5.

The rate of change for the table is computed as described in the problem statement:

unit rate of change = ∆y/∆x = (18-9)/(4 -2) = 9/2 = 4.5

The unit rates are the same.