XxMadDogGamerxX
contestada

The dance committee of Pine Bluff Middle School earns \$72$72 from a bake sale and will earn \$4$4 for each ticket they sell to the Spring Fling dance. The dance will cost \$400$400.

Write an inequality to determine the number, tt, of tickets the committee could sell to have money left over after they pay for this year's dance.


Inequality:


What is the solution set of the inequality?


A: t < 82

B: t ≤ 82

C: t > 82

D: t ≥ 82

Respuesta :

Answer:

Inequality is [tex]4t+72>400[/tex]

Solution is C: t > 82

Step-by-step explanation:

Let the number of tickets = t

It is given that the committee earns $4 per ticket. That is, they earn [tex]4t[/tex] dollars.

Also, the committee earns $72 from the bake sale.

So, the total income is [tex]4t+72[/tex] dollars.

Since, the dance will cost $400.

So, the total earning must be greater than $400.

Thus, the inequality for the situation is given by, [tex]4t+72>400[/tex].

So, on solving, we have,

[tex]4t+72>400[/tex]

i.e. [tex]4t>328[/tex]

i.e. t > 82.

Thus, the solution of the inequality is [tex]t> 82[/tex]

Hence, option C is correct.

aksnkj

The committee should sell more than 82 (t>82) tickets to have money left over after they pay for this year's dance. Option C is correct.

Given information:

The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance.

The cost of the dance is $400.

Let t be the number of tickets sold.

Now, the total earning can be written as [tex]72+4t[/tex].

According to the question, the earning should be more than the cost of the dance. So, the inequality can be written as,

[tex]72+4t>400[/tex]

Solve the inequality to know the number of tickets t sold to achieve the goal,

[tex]72+4t>400\\4t>328\\t>82[/tex]

Therefore, the committee should sell more than 82 tickets to have money left over after they pay for this year's dance.

For more details, refer to the link:

https://brainly.com/question/20085191

Otras preguntas