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?PersonsBill Amount1$402$807$2809$36011$440 (12, 460)(20, 800)(24, 1,020)(27, 1,080)(28, 1,110)

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Asked Sep 26, 2019
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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?

Persons Bill Amount
1
$40
2
$80
7
$280
9
$360
11
$440
 
  • (12, 460)
  • (20, 800)
  • (24, 1,020)
  • (27, 1,080)
  • (28, 1,110)
 
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Expert Answer

Step 1

From the given table values obtain a linear equation as follows.

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The general form of linear equation is given bv V-1 _ Y2- Ji Consider any two points from the table (1,40) and (2,80). The general form of linear equation is y-40 80 40 2 1 х-1 y-40 = 40 х -1 y-40 40(x-1) y 40x-40 +40 _ y40x

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Step 2

Substitute the given points in the linear equation obtained a...

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y = 40x Option A: (12,460)- No Option B: (20,800)- Yes ? 460=40(12) 800-40(20) 460 480 800 800 Option D: (27,1080)- Yes Option C: (24,1020)- No 1020=40(24) 1020 960 1080 40(27) 1080 1080 Option E: (28,1110)- No 1110 40(28) 1101120

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Algebra

Equations and In-equations