Seth earns $25 a day and $3 for each ticket he sells at the local theatre. Write and solve aninequality that can be used to find how many tickets he must sell in a day to earn at least $115.Solve.

Respuesta :

Seth earns $25 a day and also she earns $3 for each ticket he sells at the local theatre.

Therefore $25 is the independent value and $3 is the dependent value because it depends on how many tickets are sold.

We can write the next expression:

[tex]25+3x[/tex]

Now, we need to make an inequality about he must sell at least $115 in a day.

The word "at least" means greater than or equal to, therefore:

[tex]25+3x\ge115[/tex]

Now, let's solve the inequality:

Subtract both sides by 25:

[tex]25-25+3x\ge115-25[/tex][tex]3x\ge90[/tex]

Then, divide both sides by 3:

[tex]\frac{3x}{3}\ge\frac{90}{3}[/tex]

Simplify:

[tex]x\ge30[/tex]

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