For her birthday, Gale received $200. She would like to spend all or some of the money to take
guitar lessons. After an initial $50 fee to cover rental equipment, each guitar lesson will cost $25.
Write an inequality to determine how many lessons Gale could take using her birthday money.
Highlight your inequality in green. Then, solve the inequality.

Answer:

The inequality that can be used to determine the number of guitar lessons Gale could take using her birthday money is:

[tex]25x + 50 \leqslant 200[/tex]

The solution to the inequality is:

[tex]x \leqslant 6[/tex]

She can take at most, 6 guitar lessons

Step-by-step explanation:

Total amount Gale received is $200

For rental equipment, she paid $50

Each guitar lesson will cost $25

Let x represent the number of lessons she could take, then the total amount she will spend must bot exceed $200

The guitar lesson will cost a total of 25x

So, her total spending will be:

[tex]25x + 50[/tex]

This must be at most $200

[tex]25x + 50 \leqslant 20[/tex]

Solving the above inequality:

[tex]25x \leqslant 200 - 50 = 150[/tex]

[tex]x \leqslant \frac{150}{25} = 6[/tex]

Combine the like terms to create an equivalent expression for 4z−(−3z)

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Vince is saving for a new mobile phone. The least expensive model Vince likes costs $225.90. Vince has saved $122.35. He used this solution to determine how much more he needs to save.

225.90 less-than-or-equal-to 122.35 + a. 225.90 minus 122.35 less-than-or-equal-to 122.35 minus 122.35 + a. 103.55 less-than-or-equal-to a.

Vince says that based on the solution, he should save a maximum of $103.55.

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Vince is correct because he found the correct solution to the inequality.
Vince is correct because he should save at least $103.55.
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Vince is not correct because he should have interpreted the solution as having to save a minimum of $103.55.