Question

Six Data Tables (A, B, C, D, E, F) are shown below. For each Table, decide...

Six Data Tables (A, B, C, D, E, F) are shown below.

For each Table, decide which of two methods (table only  or   equation, graph, or table) can be used to represent the data.

For the purposes of this question, assume that we only know and can use two graph forms / equations:

  x= c t + d (straight line graph) and    x = b t2+ c t + d (quadratic curve graph).

A B C D E F
t x   
0 4
1 7
2 10
3 13
4 16
t x   
0 3
1 4
2 2
3 5
4 1
t    x   
0 0
1 1
2 4
3 9
4 16
t x   
0 0
1 10
2 4
3 19
4 6
t x   
0 0
1 3
2 5
3 3
4 0
t x   
0 10
1 6
2 2
3 -2
4 -6
0 0
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Answer #1

A )

when the data is used and plot the graph we get a straight line or quadratic line.

so the plots of A, B , C, D , E , F are like below.

16 ΙΔ 12 าบ 3.5 15 25 25

here the we got is straight line so equation is a straight line equation

B )

2 LE

no equation is related in the table

c )

it is a quadratic equation

d )

no equation related to table

e )

quadratic equation

f )

it is a straight line.

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