Question

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?

a. (12, 470)
b. (20, 800)
c. (24, 1,020)
d. (27, 1,080)
e. (28, 1,110)

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Answer 1

Answer: B and D

Step-by-step explanation: 40 * 20 = 800 and 40 * 27 = 1,080

Answer 2

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

Option (b) and (d) is correct.

It is given that average bill totals for given numbers of diners at Simone's restaurant.

To find which points will lie on the line you get.

What is co-ordinate?

Coordinates are distances or angles, represented by numbers, that uniquely identify points on surfaces of two dimensions (2D) or in space of three dimensions ( 3D ).

The rate is constant.

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

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

Learn more about the co-ordinate here:

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