The table shows a proportional relationship between the number of pounds of bananas purchased and the total cost of bananas.
Bananas
Number of pounds Total cost (dollars)
333 1.471.471, point, 47
555 2.452.452, point, 45
999 4.414.414, point, 41
? ?
A row of values is missing in the table.
Which numbers of pounds of bananas and total costs of the bananas could be used as the missing values in the table?
Choose 3 answers:
Choose 3 answers:

(Choice A)
A
Pounds of bananas: 222
Total cost: \$0.98$0.98dollar sign, 0, point, 98

(Choice B)
B
Pounds of bananas: 777
Total cost: \$4.45$4.45dollar sign, 4, point, 45

(Choice C)
C
Pounds of bananas: 666
Total cost: \$2.94$2.94dollar sign, 2, point, 94

(Choice D)
D
Pounds of bananas: 111
Total cost: \$0.54$0.54dollar sign, 0, point, 54

(Choice E)
E
Pounds of bananas: 888
Total cost: \$3.92$3.92

Respuesta :

Answer:

Choice A, C and E

Step-by-step explanation:

Your table is poorly presented

Given

x      y

[tex]\begin{array}{cc} {3} & {1.47} \ \\ {5} & {2.45} \ \\ {9} & {4.41} \ \ \end{array}[/tex]

First, we calculate the constant of proportionality (k)

[tex]k = \frac{y}{x}[/tex]

For (3,1.47)

[tex]k = \frac{1.47}{3}[/tex]

[tex]k = 0.49[/tex]

For (5,2.45)

[tex]k = \frac{2.45}{5}[/tex]

[tex]k = 0.49[/tex]

For (9,4.41)

[tex]k = \frac{4.41}{9}[/tex]

[tex]k = 0.49[/tex]

From the above calculations, the constant of proportionality is 0.49.

So, the usable rows must also have 0.49 as their constant of proportionality

Choice A

[tex](x,y) = (2,0.98)[/tex]

[tex]k = \frac{0.98}{2}[/tex]

[tex]k = 0.49[/tex] --- This is usable

Choice B

[tex](x,y) = (7,4.45)[/tex]

[tex]k = \frac{4.45}{7}[/tex]

[tex]k = 0.64[/tex] --- This is not usable

Choice C

[tex](x,y) = (6,2.94)[/tex]

[tex]k = \frac{2.94}{6}[/tex]

[tex]k = 0.49[/tex] --- This is usable

Choice D

[tex](x,y) = (1,0.54)[/tex]

[tex]k = \frac{0.54}{1}[/tex]

[tex]k = 0.54[/tex] ---- This is not usable

Choice E

[tex](x,y) = (8,3.92)[/tex]

[tex]k = \frac{3.92}{8}[/tex]

[tex]k = 0.49[/tex] --- This is usable

Answer:

A, C, and E

Step-by-step explanation:

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