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

old question but will respond so this can be closed

using the table, 1 day of a gold membership is $70 and 2 days is $90, right?
we can interpret these two values as points (1,70) and (2,90)

using these points, we can write an equation in y = mx + b form where m is the daily fee and b is the membership cost (we want to solve for b)

so, use the slope formula to find the slope m, then take any point (1,70), plug that in for x and y, then solve for b