Question

question
nakeisha is going to the amusement park, where she 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 nakeisha will spend is given by the equation $y = 1.5x + 14$, where $y$ represents the total amount of money, in dollars and cents, and $x$ represents the number of rides nakeisha goes on. what is the meaning of the $y$-value when $x = 1$?
answer
the total amount of money nakeisha will spend if she goes on 100 rides.
the total amount of money nakeisha will spend if she goes on 1 ride.
how much it costs for a ticket to go on one of the rides.
the cost to get into the amusement park.

Explanation:

Step1: Understand the linear equation

The equation is \( y = 1.5x + 14 \), where \( y \) is total money spent (in dollars and cents) and \( x \) is the number of rides. We need to find the meaning of \( y \) when \( x = 1 \).

Step2: Substitute \( x = 1 \) into the equation

Substitute \( x = 1 \) into \( y = 1.5x + 14 \). So, \( y = 1.5(1)+ 14=1.5 + 14 = 15.5 \). Now, let's analyze the options:

• Option 1: "The total amount of money Nakeisha will spend if she goes on 100 rides." For \( x = 100 \), this is not related to \( x = 1 \), so incorrect.
• Option 2: "The total amount of money Nakeisha will spend if she goes on 1 ride." When \( x = 1 \) (number of rides is 1), \( y \) gives the total money spent for 1 ride (including admission). Let's check other options.
• Option 3: "How much it costs for a ticket to go on one of the rides." The coefficient \( 1.5 \) is the cost per ride, not \( y \) when \( x = 1 \), so incorrect.
• Option 4: "The cost to get into the amusement park." The y - intercept (when \( x = 0 \)) is 14, which is the admission cost, not when \( x = 1 \), so incorrect.

Answer:

The total amount of money Nakeisha will spend if she goes on 1 ride.