Question

The Perez family is researching the cost of keeping their dog at a kennel during an upcoming vacation. The local kennel allows “Silver” families to pay a rate of $36 per day. For a fee, families can buy a “Gold” membership and will be allowed to board their dogs at a discounted rate as shown in the table.

Total Cost, Including Membership Fee, to Board a Dog
Type of membership
1 Day
2 Days
7 Days
Silver
$36
$72
$252
Gold
$70
$90
$190

What is the cost of a Gold membership?
$20
$34
$50
$70

Answer 1

50

Let M be the membership fee and r the Gold daily rate. From the table:
M + r = 70 and M + 2r = 90. Subtracting gives r = 20, so M = 70 − 20 = 50.