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3. a theater is selling tickets to a play. adult tickets cost $8 each a…

Question

  1. a theater is selling tickets to a play. adult tickets cost $8 each and childrens tickets cost $5 each. they collect $275 after selling x adult tickets and y childrens tickets. what does the point (30,7) mean in this situation? 4. technology required. priya starts with $50 in her bank account. she then deposits $20 each week for 12 weeks. a. write an equation that represents the relationship between the dollar amount in her bank account and the number of weeks of saving.

Explanation:

Response
3.

Step1: Identify x - value meaning

The x - value in the point (x,y) represents the number of adult tickets sold. Here x = 30, so 30 adult tickets were sold.

Step2: Identify y - value meaning

The y - value in the point (x,y) represents the number of children's tickets sold. Here y = 7, so 7 children's tickets were sold.

Step1: Identify the initial amount

The initial amount in Priya's bank account is $50. This is the y - intercept (b) of the linear equation.

Step2: Identify the rate of change

She deposits $20 each week. The rate of change (slope m) of the linear relationship is 20. Let w be the number of weeks and A be the amount of money in the account. The general form of a linear equation is A=mw + b.

Step3: Write the equation

Substitute m = 20 and b = 50 into the equation. We get A = 20w+50.

Answer:

The point (30,7) means that 30 adult tickets and 7 children's tickets were sold.

4.