Question

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Answer 1

Answers:

Exercise 34.

`4t+72\geq 400` and
`t\leq82`.

Exercise 35.

`30t-4`.

Explanation:

Exercise 34.

1. Forming the inequality.

Let's make the left side be a calculation of the total earning based on the number of tickets sols. Also, let's make the right side the cost of the dance to compare and find an adecuate minimum value of x.

`4t+72\geq 400`.

We use the "greater or equal to" symbol because the side of x expresses the earning of the committee, and these earnings will have to be equal or greater than the cost of the dance to be able to organize the dance.

2. Solving the inequality.

`4t+72\geq 400\\ \\4t\geq 400-72\\ \\4t\geq 328\\ \\t\geq(328)/(4) \\ \\t\geq82`

3. Express your results.

`t\leq82`, therefore, the dance committee will have to sell at least 82 tickets to be able to cover the cost of the dance.

Exercise 35.

`2-6(-5t+1)`

Apply the associative property of multiplication.

Rule to be applied:
`a(b+c)=ab+ac`.

`2+(-6)(-5t)+(-6)(1)=\\ \\2+30t-6\\ \\30t-4`

Result.

`30t-4`.