Question

DUE SOON!
PLEASE HELP EXPLAIN THIS IM SO CONFUSED!

Answer 1

$20.44

Explanation:

The average of a set of numbers is defined as:

`\frac{\textrm{sum of values}}{\textrm{number of values}}`

In this problem, we are shown a table where each row has a coupon value in the left column and the number of that coupon value in the right column (e.g., if we look at the top row, we can see there are 70 coupons each valued at $10).

So, the sum of values in this problem (i.e., the total number of dollars given out by the store in the form of coupons) is defined as the sum of the product of each row.

`\textrm{sum of values} = (\$10 * 70) + (\$20 * 40) + (\$40 * 20) + (\$60 * 4) + (\$120 * 2)`

`\textrm{sum of values} = \$700 + \$800 + \$800 + \$240 + \$240`

`\textrm{sum of values} = \$2780`

The number of values in this problem is just the sum of the numbers in the right column (i.e., the number of coupons given out).

`\textrm{number of values} = 70 + 40 + 20 + 4 + 2`

`\textrm{number of values} = 136`

Finally, to answer the problem, we can plug the two numbers that we just solved for into the formula for the average of a set.

`\textrm{average savings} = \frac{\textrm{value of all tickets}}{\textrm{number of tickets}}`

`\textrm{average savings} = (\$2780)/(136)`

`\textrm{average savings} \approx \$20.44`