Question

he 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

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

Explanation:

Answer 2

The slope of the line of restaurant B is two times the slope of line of restaurant A.

What is a slope of line?

Slope is a measure of the steepness of a line.

m = (y2 - y1)/(x2 - x1)

The given table for both restaurants are:

X(Bill) Y(Tip) X(Bill) Y(Tip)

Rest A 10 1 Rest B 25 5

Rest A 20 2 Rest B 50 10

Rest A 30 3 Rest B 75 15

Slope(Restaurant A) = (y2 - y1)/(x2 - x1)

Slope(Restaurant A) = (2 - 1) / (20 - 10)

Slope(Restaurant A) = 1 / 10

Slope(Restaurant B) = (y2 - y1)/(x2 - x1)

Slope(Restaurant B) = (10 - 5) / (50 - 25)

Slope(Restaurant B) = 5 / 25 = 1/5

Hence the slope of Restaurant B is twice the slope of Restaurant A.