a inequality that represents a word sentence

Question

how do you do this i need some help please

Answer 1

Using money is usually a fairly easy way to create inequalities due to how people need to budget costs.

For example, say you're buying flowers for a party. Each bouquet costs 12 dollars, and your budget allows for you spend no more than 110 dollars on them how many flower bouquets could you buy?

So you would have your flowers bouquet (you could use f or b as it's variable), and 12 as its constant. On the other side of the inequality would be your budgeted money, 110:

12f __ 110

Now for the sign, you can meet but cannot go over 110, so you would use a lesser than or equals sign:

12f ≤ 110

Another example would be from the other side. say you made cupcakes to sell. A plate of them costs $1.50. Meanwhile you spent $45 on supplies and utilities. How many plates of cupcakes would you have to sell to make a profit?

So you would have the cupcakes, 'c,' with the coefficient 1.5 as that's how much each plate of them you're charging. On the other side, we would have 45, how much making them cost you:

1.5c __ 45

for the sign, it's not enough to break even, but you want to make money as well, so you want more than 45 dollars, so you would use a greater than sign:

1.5c > 45

This should give you ideas of your own to make.