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?

Answer 1

C 50$

Explanation:

Answer 2

$20 per day with a $50 fee

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:

`m=(y_2-y_1)/(x_2-x_1)\\\\=(90-70)/(2-1)\\\\=(20)/(1)=20`

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.