Question

An amusement park charges a $15 entrance free plus $3.25 for each ride. Part A: Write an equation that represents the situation. Write your answer in the box. Part B: Identify the initial value and the rate of change for the function that represents the situation. Part C: How much would it cost to enter the amusement park and ride on seven rides? Show your work.

Answer 1

The equation that represents the situation is Total Cost = Entrance Fee + (Rate per ride * Number of rides). The initial value is the entrance fee, which is $15, and the rate of change is the rate per ride, which is $3.25. To calculate the cost of entering the amusement park and riding on seven rides, we can use the equation and the given values.

Step-by-step explanation:

Part A: The equation that represents the situation is:

Total Cost = Entrance Fee + (Rate per ride * Number of rides)

Part B: The initial value is the entrance fee, which is $15, and the rate of change is the rate per ride, which is $3.25.

Part C: To calculate the cost of entering the amusement park and riding on seven rides, we can use the equation from Part A:

Total Cost = $15 + ($3.25 * 7) = $15 + $22.75 = $37.75

Therefore, it would cost $37.75 to enter the amusement park and ride on seven rides.

Answer 2

Look below

Step-by-step explanation:

Part A: Equation would be in the y=mx+b format. m, or the slope, would be the cost that varies depending on the number of things that happen so m=3.25. b would be the fix cost so it is 15 so the equation ends up being y=$3.25x + $15.

Part B: Initial value is 15 since it is the fix cost, and 3.25 is the rate of change since it added as the number of rides increase.

Part 3: To solve this you substitute 7 into x so y=$3.25(7) + $15 = $37.75

I hope this explains it well.