the perez family is researching the cost of keeping their dog at a kennel during an upcoming vacation. the…

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.\n\ntotal cost, including membership fee, to board a dog\n| type of membership | 1 day | 2 days | 7 days |\n| ---- | ---- | ---- | ---- |\n| silver | $36 | $72 | $252 |\n| gold | $70 | $90 | $190 |\n\nwhat is the cost of a gold membership?\n$20\n$34\n$50\n$70

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.\n\ntotal cost, including membership fee, to board a dog\n| type of membership | 1 day | 2 days | 7 days |\n| ---- | ---- | ---- | ---- |\n| silver | $36 | $72 | $252 |\n| gold | $70 | $90 | $190 |\n\nwhat is the cost of a gold membership?\n$20\n$34\n$50\n$70

Answer

Answer:

$50$

Explanation:

Step1: Let the membership fee be $x$ and daily rate for Gold be $y$.

For 1 - day Gold: $x + y=70$. For 2 - days Gold: $x + 2y=90$.

Step2: Subtract first equation from second.

$(x + 2y)-(x + y)=90 - 70$. Simplify: $x+2y - x - y = 20$, so $y = 20$.

Step3: Find the membership fee $x$.

Substitute $y = 20$ into $x + y=70$. $x+20 = 70$, then $x=70 - 20=50$.