Question

Which situation can be represented by this inequality? 50−3.50x>100−6x Select one: A. Daniel has a $50 Dunkin Donuts™ gift card and spends $3.50 a day. David has a $100 gift card and spends $6 a day. What is x, the number of days that need to pass for Daniel to have less money on his gift card than David? B. Daniel has a $50 Dunkin Donuts™ gift card and spends $6 a day. David has a $100 gift card and spends $3.50 a day. What is x, the number of days that need to pass for Daniel to have more money on his gift card than David? C.Daniel has a $50 Dunkin Donuts™ gift card and spends $3.50 a day. David has a $100 gift card and spends $6 a day. What is x, the number of days that need to pass for Daniel to have more money on his gift card than David? D. Daniel has a $50 Dunkin Donuts™ gift card and spends $3.50 a day. David has a $100 gift card and spends $6 a day. What is x, the number of days that need to pass for Daniel to have the same amount of money on his gift card as David?

Answer 1

Option C is correct

Explanation:

Given: inequality is
`50-3.50x>100-6x`

To find: situation that can be represented by the given inequality

Solution:

Cost of Dunkin Donuts gift card with Daniel = $50

Amount spent by Daniel per day = $3.50

Cost of Dunkin Donuts gift card with David = $100

Amount spent by David per day = $6

Amount left with Daniel after x days =
`\$(50-3.50x)`

Amount left with David after x days =
`\$(100-6x)`

According to question,

Amount left with Daniel after x days > Amount left with David after x days

`50-3.50x>100-6x`

So, he inequality that satisfies the situation is
`50-3.50x>100-6x`

Option C is correct