Candace purchased 6 gallons of gas for $13.56. What is the constant of proportionality that relates the cost in dollars, y, to the number of gallons, x?
Responses

A $0.44$0.44

B $2.26$2.26

C $1.23$1.23

D $3.04

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Answer:

AI-generated answer

To find the constant of proportionality that relates the cost in dollars, y, to the number of gallons, x, we can use the given information:

1. Candace purchased 6 gallons of gas for $13.56.

2. The cost of 1 gallon of gas can be calculated by dividing the total cost by the number of gallons:

Cost per gallon = Total cost / Number of gallons

= $13.56 / 6

= $2.26

3. The constant of proportionality is the cost per gallon, which is $2.26 in this case.

Therefore, the correct constant of proportionality that relates the cost in dollars to the number of gallons is $2.26.

Step-by-step explanation:

The constant unit rate :

$13.56 / 6 gal = $ 2.26   per gallon

    each gallon 'x' adds 2.26 to the cost 'y'

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