Question

The two tables below show the amount of tip, y, included on a bill charging x dollars.

A 2-column table with 3 rows titled Restaurant A. Column 1 is labeled x with entries 10, 20, 30. Column 2 is labeled y with entries 1, 2, 3.
A 2-column table with 3 rows titled Restaurant B. Column 1 is labeled x with entries 25, 50, 75. Column 2 is labeled y with entries 5, 10, 15.

Which compares the slopes of the lines created by the tables?
The slope of the line for Restaurant B is One-fifth times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 5 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 10 times greater than the slope of the line for Restaurant A.

Answer 1

9514 1404 393

Answer:

(b) The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.

Explanation:

The slope of the relation for Restaurant A is ...

y/x = 1/10

The slope of the relation for Restaurant B is ...

y/x = 5/25 = 1/5 = 2×1/10

The slope of the line for Restaurant B is 2 times as great as the slope of the line for Restaurant A.