You did not attach the table which shows the value of x and y for Restaurant A and Restaurant B. However I have dug up on other sources and I believe the given table is:
Restaurant A
x y
10 1
20 2
30 3
Restaurant B
x y
25 5
50 10
75 15
We can calculate for the slope of the line (m), using the formula:
m = (y2 – y1) / (x2 – x1)
given that (x1, y1) and (x2, y2) are given pairs of the data set
Calculating the slope for Restaurant A:
mA = (2 – 1) / (20 – 10)
mA = 1 / 10
Calculating the slope for Restaurant B:
mB = (10 – 5) / (50 – 25)
mB = 5 / 25
mB = 1 / 5
Dividing mB by mA to know how much larger mB is:
mB / mA = (1 / 5) / (1 / 10) = 2
Therefore the slope of restaurant B is 2 times greater than that of A.
Answer:
The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
