Question

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.

Answer 1

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:

`25+3x`

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:

`25+3x\ge115`

Now, let's solve the inequality:

Subtract both sides by 25:

`25-25+3x\ge115-25`
`3x\ge90`

Then, divide both sides by 3:

`(3x)/(3)\ge(90)/(3)`

Simplify:

`x\ge30`