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 per day with a $50 fee

Step-by-step explanation:

For 1 day, the gold fee is $70.  For 2 days, the gold fee is $90.  This can be written as the ordered pairs (1, 70) and (2, 90).

To find the daily fee, we will find the slope between the points:

Next we will use point-slope form:

y-y₁ = m(x-x₁)

y-70 = 20(x-1)

Use the distributive property:

y-70 = 20(x)-20(1)

y-70 = 20x-20

Add 70 to each side:

y-70+70 = 20x-20+70

y = 20x+50

This means the fee is $50.

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

y -5 = (-1/4)(x + 8)

step-by-step explanation: