Sally is baking cupcakes for her birthday party. The table below shows the total number of sprinkles Sally uses for the number of cupcakes she bakes.

Question

Let c represent the number of cupcakes baked.
Let s represent the total amount of sprinkles used.
Number of Cupcakes Baked
c Total Amount of Sprinkles Used
s
6 120
12 240
18 360

Determine whether each statement is true. Select True or False for each statement.

Statement
True
False
The equation represents the relationship between the number of cupcakes baked and the total amount of sprinkles Sally used.
The total amount of sprinkles Sally used is 20 times the number of cupcakes baked.
If Sally baked 24 cupcakes, she will have used 460 total sprinkles.

Answer 1

Let's analyze each statement based on the information provided in the table.

1. The equation represents the relationship between the number of cupcakes baked and the total amount of sprinkles Sally used.

   • We can see from the data:
     • 6 cupcakes use 120 sprinkles.
     • 12 cupcakes use 240 sprinkles.
     • 18 cupcakes use 360 sprinkles.
   • The relationship can be described by the equation \( s = 20c \), where \( s \) is the total sprinkles and \( c \) is the number of cupcakes. Each increase of 6 cupcakes corresponds to an increase of 120 sprinkles, confirming a constant rate of 20 sprinkles per cupcake.
   • Answer: True

2. The total amount of sprinkles Sally used is 20 times the number of cupcakes baked.

   • As derived from the relationship \( s = 20c \), for every cupcake, she uses 20 sprinkles.
   • Answer: True

3. If Sally baked 24 cupcakes, she will have used 460 total sprinkles.

   • Using the formula \( s = 20c \):
     • For 24 cupcakes: \( s = 20 \times 24 = 480 \) sprinkles.
   • 480 is not equal to 460.
   • Answer: False

In summary:

• 1st statement: True
• 2nd statement: True
• 3rd statement: False