Paul, colin and brian are waiters. one night the restaurant earns tips totalling £77.40. they share the tips in the ratio 1: 3: 5. how much more does brian get over paul?

Ratio

Paul  :  Colin  :  Brian
  1 .   :    3 .    :     5


Total Amount Collected

£77.40


Find I share of the money collected

Total shares = 1 + 3 + 5 = 9
9 shares = £77.40
1 share = £77.40 ÷ 9
1 share = £8.60


Find Brian's share

1 share = £8.60
5 shares = £8.60 x 5 
5 shares = £43


Find Paul's share

1 share = £8.60


Difference in Brian's and Paul's share

£43 - £8.60 = £34.40


 £34.40

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: the function g(x) has the greatest slope.