Question

A store sells shirts to the public at one pricing scale and wholesale at another pricing scale. The tables below describe the cost, y, of x shirts.

Public
A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 5, 9. Column 2 is labeled y with entries 24, 60, 108.
Wholesale
A 2-column table with 3 rows. Column 1 is labeled x with entries 18, 35, 50. Column 2 is labeled y with entries 162, 315, 360.

How do the slopes of the lines created by each table compare?
The slope of the Public table is Three-fourths of the slope of the Wholesale table.
The slope of the Wholesale table is Three-fourths of the slope of the Public table.
The slope of the Public table is 12 times greater than the slope of the Wholesale table.
The slope of the Wholesale table is 12 times greater than the slope of the Public table.

Answer 1

Correction

A 2-column table with 3 rows. Column 1 is labeled x with entries 18, 35, 40. Column 2 is labeled y with entries 162, 315, 360.

Answer:

(B)The slope of the Wholesale table is Three-fourths of the slope of the Public table.

Explanation:

Given the points from the public table

(2,24),(5,60),(9,108)

Slope
`=(60-24)/(5-2) =(36)/(3)=12`

Given the points from the wholesale table

(18,162),(35,315),(50,360)

Slope
`=(315-162)/(35-18) =(153)/(17)=9`

`(3)/(4)X$Slope of Public Table=Slope of Wholesale Table$ \\(3)/(4) X 12=9`

Therefore, we can see that the slope of the Wholesale table is Three-fourths of the slope of the Public table.