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Josiah 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 Josiah will spend is given by the equation 
y=14+3.5 x, where 
y represents the total amount of money, in dollars and cents, and 
x represents the number of rides Josiah goes on. What is the meaning of the 
y-value when 
x=1 ?
The total amount of money Josiah will spend if he goes on o rides.
The total amount of money Josiah will spend if he goes on 100 rides.
The change in the total amount of money he will spend for every additional ride he goes on.
The total amount of money Josiah will spend if he goes on 1 ride.

Josiah 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 Josiah will spend is given by the equation y=14+3.5x y=14+3.5 x , where y y represents the total amount of money, in dollars and cents, and x x represents the number of rides Josiah goes on. What is the meaning of the y y -value when x=1 x=1 ?\newlineThe total amount of money Josiah will spend if he goes on o rides.\newlineThe total amount of money Josiah will spend if he goes on 100100 rides.\newlineThe change in the total amount of money he will spend for every additional ride he goes on.\newlineThe total amount of money Josiah will spend if he goes on 11 ride.

Full solution

Q. Josiah 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 Josiah will spend is given by the equation y=14+3.5x y=14+3.5 x , where y y represents the total amount of money, in dollars and cents, and x x represents the number of rides Josiah goes on. What is the meaning of the y y -value when x=1 x=1 ?\newlineThe total amount of money Josiah will spend if he goes on o rides.\newlineThe total amount of money Josiah will spend if he goes on 100100 rides.\newlineThe change in the total amount of money he will spend for every additional ride he goes on.\newlineThe total amount of money Josiah will spend if he goes on 11 ride.
  1. Question Prompt: Question prompt: What is the meaning of the yy-value when x=1x=1 in the equation y=14+3.5xy=14+3.5x?
  2. Understand the Equation: Understand the equation y=14+3.5xy=14+3.5x. The equation represents a linear relationship between the number of rides Josiah goes on (xx) and the total amount of money he will spend (yy). The number 1414 represents the set price of admission, and 3.53.5 represents the price for each ride.
  3. Substitute x=1x=1: Substitute x=1x=1 into the equation to find the yy-value when Josiah goes on 11 ride.\newliney=14+3.5(1)y = 14 + 3.5(1)
  4. Perform Multiplication: Perform the multiplication 3.53.5 times 11. \newline3.5×1=3.53.5 \times 1 = 3.5
  5. Add to Set Price: Add the result from Step 33 to the set price of admission to find the total amount of money Josiah will spend.\newliney=14+3.5y = 14 + 3.5\newliney=17.5y = 17.5
  6. Interpret y-value: Interpret the y-value when x=1x=1. The y-value of 17.517.5 represents the total amount of money Josiah will spend if he goes on 11 ride, including the set price of admission.

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