68.2k views
5 votes
There are two computers you want to buy but each one has a different special deal. The first deal is $50 cashback with $5 more for each referral you give. The second deal is for $130 cashback with no referral bonus. How many referrals do you need to give before the first deal is better?

2 Answers

2 votes

Final answer:

You would need at least 17 referrals for the first deal, which offers $50 cashback plus $5 per referral, to be better than the second deal, which offers a flat $130 cashback.

Step-by-step explanation:

Let's calculate how many referrals are needed before the first deal becomes more advantageous than the second deal. The first deal offers $50 cashback plus an additional $5 for each referral, while the second deal offers a flat $130 cashback without any referrals.

To find the number of referrals needed, we solve for the number of referrals in the inequation: $5 × ( ext{number of referrals}) > $80. Dividing both sides by $5 gives us × ( ext{number of referrals}) > 16. Therefore, you would need more than 16 referrals, meaning at least 17 referrals, for the first deal to be better than the second deal.

User Thaddeusmt
by
3.8k points
4 votes
17 referrals. First you subtract $50 from $130 to find the difference between them. That gives us $80. So now divide $80 by 5, the amount of money you receive when you give a referral. You get 16, but the question is how many referrals do you need to give to make the first deal BETTER. So that means the first deal has to have a bigger cash back than the second deal. So 16 becomes 17, because now the first deal is better because you get $135 in cashback. Hope this is right and that it helps!
User Anton Chikin
by
4.2k points