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Jaxson is going to the amusement park, where he has to pay a set price of admission and another price for tickets to go on each of the rides. The total amount of money Jaxson will spend is given by the equation 
y=28+3x, where 
y represents the total amount of money, in dollars and cents, and 
x represents the number of rides Jaxson goes on. What could the number 28 represent in the equation?
How much it costs for a ticket to go on one of the rides.
The total amount of money Jaxson will spend if he goes on 100 rides.
The cost to get into the amusement park.
The total amount of money Jaxson will spend if he goes on 1 ride.

Jaxson is going to the amusement park, where he has to pay a set price of admission and another price for tickets to go on each of the rides. The total amount of money Jaxson will spend is given by the equation y=28+3x y=28+3 x , where y y represents the total amount of money, in dollars and cents, and x x represents the number of rides Jaxson goes on. What could the number 2828 represent in the equation?\newlineHow much it costs for a ticket to go on one of the rides.\newlineThe total amount of money Jaxson will spend if he goes on 100100 rides.\newlineThe cost to get into the amusement park.\newlineThe total amount of money Jaxson will spend if he goes on 11 ride.

Full solution

Q. Jaxson is going to the amusement park, where he has to pay a set price of admission and another price for tickets to go on each of the rides. The total amount of money Jaxson will spend is given by the equation y=28+3x y=28+3 x , where y y represents the total amount of money, in dollars and cents, and x x represents the number of rides Jaxson goes on. What could the number 2828 represent in the equation?\newlineHow much it costs for a ticket to go on one of the rides.\newlineThe total amount of money Jaxson will spend if he goes on 100100 rides.\newlineThe cost to get into the amusement park.\newlineThe total amount of money Jaxson will spend if he goes on 11 ride.
  1. Analyze Equation Components: Analyze the equation y=28+3xy=28+3x to understand its components.\newlineThe equation represents a linear relationship between the total amount of money Jaxson will spend (yy) and the number of rides he goes on (xx). The number 2828 is added to the product of 33 and xx, which suggests that 2828 is a fixed amount that does not change with the number of rides.
  2. Identify Coefficient Meaning: Identify what the number 33 represents in the equation.\newlineThe number 33 is the coefficient of xx, which indicates the cost per ride. This means that for each ride Jaxson goes on, he will spend an additional $3\$3.
  3. Determine Fixed Cost: Determine what the number 2828 could represent based on the structure of the equation.\newlineSince 2828 is not multiplied by xx and is a fixed amount, it is reasonable to conclude that 2828 represents a one-time cost that Jaxson will incur regardless of the number of rides he goes on. This one-time cost is most likely the admission fee to enter the amusement park.
  4. Evaluate Given Options: Evaluate the options given in the question to see which one fits the interpretation of the number 2828.\newline- "How much it costs for a ticket to go on one of the rides." This is incorrect because the cost per ride is represented by the number 33.\newline- "The total amount of money Jaxson will spend if he goes on 100100 rides." This is incorrect because the total amount would be y=28+3(100)y=28+3(100), which is more than 2828.\newline- "The cost to get into the amusement park." This is the most likely correct answer because it is a fixed cost, as represented by the number 2828 in the equation.\newline- "The total amount of money Jaxson will spend if he goes on 11 ride." This is incorrect because the total amount would be y=28+3(1)y=28+3(1), which is more than 2828.

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