Question

Select all the correct answers.
The table shows the average bill totals for given numbers of diners at Simone's restaurant. If the rate is constant and you graph this relationship
with the number of people along the x-axis and bill amounts along the y-axis, which points will lie on the line you get?
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Answer 1

Given :   average bill totals for given numbers of diners at Simone's restaurant.

rate is constant

graph this relationship with the number of people along the x-axis and bill amounts along the y

To Find : which points will lie on the line you get?

Solution:

Persons        Bill Amount  $

x                     y

1                     40

2                    80

7                    280

9                    360

11                    440

y = mx + c

=> 40 =m+ c

80 = 2m + c

=> m = 40

40 = 40 + c

=> c = 0

Hence

y = 40x

x = 12 => y = 480

x = 20 => y = 800

x =24 => y = 960

x = 27 => y = 1080

x = 28 => y = 1120

Hence (20 , 800)  and ( 27 , 1080 ) point lies on the line

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