The table below shows the total number of treats given by a family on Halloween based on the number of trick-or-treaters visiting their house. If they always give the same number of treats to each trick-or-treater, how many total treats will they have given if 21 trick-or-treaters visit their house?

Number of Trick-or-Treaters 4 5 7 10 14
Total Number of Treats Given 12 15 21 30 42
A.
45

B.
54

C.
57

D.
63

1 answer

To find the number of treats given per trick-or-treater, let's examine the data provided in the table.

We can find the number of treats per trick-or-treater by dividing the total number of treats by the number of trick-or-treaters for each entry:

  1. For 4 trick-or-treaters:
    \[ \text{Treats per trick-or-treater} = \frac{12}{4} = 3 \]

  2. For 5 trick-or-treaters:
    \[ \text{Treats per trick-or-treater} = \frac{15}{5} = 3 \]

  3. For 7 trick-or-treaters:
    \[ \text{Treats per trick-or-treater} = \frac{21}{7} = 3 \]

  4. For 10 trick-or-treaters:
    \[ \text{Treats per trick-or-treater} = \frac{30}{10} = 3 \]

  5. For 14 trick-or-treaters:
    \[ \text{Treats per trick-or-treater} = \frac{42}{14} = 3 \]

From this data, we can see that the family always gives out 3 treats per trick-or-treater.

Now, if 21 trick-or-treaters visit their house, the total number of treats given can be calculated as:

\[ \text{Total Treats} = \text{Number of Trick-or-Treaters} \times \text{Treats per trick-or-treater} = 21 \times 3 \]

Calculating this gives us:

\[ 21 \times 3 = 63 \]

Thus, if 21 trick-or-treaters visit their house, they will have given away 63 treats.

The answer is \( \text{D. } 63 \).