Question

The seventh-grade class is putting on a variety show to raise money. It cost $700 to rent the banquet hall that they are going to use. If they charge $15 for each ticket, how many tickets do they need to sell in order to raise at least $1000

A.) Write an inequality that represents Daniel's situation.

B.) How many rides can daniel go on?

C.) Graph the solutions on a number line.

Answer 1

A) $15t - $700 ≥ $1000

B) At least 114 tickets

C) As the attached graph

Explanation:

The 7th grade class is putting on a variety show to raise money.

It cost $700 to rent the banquet hall that they are going to use.

If they charge $15 for each ticket,

We are to find how many tickets they need to sell in order to raise at least $1000.

Let the number of tickets they need to sell be t.

The inequality that represents this situation is;

$15t - $700 ≥ $1000

The least number of tickets they can sell is;

$15t ≥ $1000 + $700

$15t ≥ $1700

t ≥ 113.3333 (rounded to four decimal values)

But since we can have 0.3 tickets the class will have to sell at least 114 tickets

The graphed situation is as attached. We need the shaded region.