A bakery delivers cookies to offices.

*The bakery charges a $5 delivery fee.
*The bakery charges a total of $20 for delivering 12 cookies
*The bakery charges a total of $27.50 for delivering 18 cookies
Which equation represents the total charge in dollars, y, for a delivery of x cookies?

y = 1.25x + 5

y = 5x + 1.25

y = 1.25x + 6

y = 5x + 7.50

1 answer

To find the equation that represents the total charge in dollars y for a delivery of x cookies, we need to analyze the information provided and determine the costs involved.

  1. The bakery charges a $5 delivery fee.
  2. The price for cookies must be calculated based on the total provided for different quantities.

From the two given data points:

  • For 12 cookies, the total cost is $20. 20=cost of cookies+5 Thus, the cost of cookies is: cost of cookies=205=15 The cost per cookie is: cost per cookie=1512=1.25

  • For 18 cookies, the total cost is $27.50. 27.50=cost of cookies+5 Thus, the cost of cookies is: cost of cookies=27.505=22.50 The cost per cookie is: cost per cookie=22.5018=1.25

Now that we have determined that the cost per cookie is $1.25, we can formulate the total charge in terms of x cookies:

y=1.25x+5

Thus, the correct equation that represents the total charge in dollars y for a delivery of x cookies is: y=1.25x+5

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