3) Less than ½ hour free , 1/2 hour or more, but less than 1 hour is 3o cents 1 hour or more, but less than l⅓ hours ISS hours or more, but less than 2 hours 60cents 90cents 4) Less than ½ hour hour or more, but less than 1 hour 1 hour or more, but less than 1 ⅓hours 1⅓hours or more, but less than 2 hours free 15 cents 30cents 45 cents
5) Less than 15 minutes20 cests 15 minutes or more, but less than 45 minutes 45 minutes or more, but less than 75 mimue 75 minutes oe more, but less than 105 minunes 60 cents Your Assignment
1) Graph cach scenario carefully-you may put tom all on pgher-real
2) Describe cach new scenario as a transformation of the oripimal cost. Describe using both the language of transformations (ie vertical shift.) as well as description involving the variables in the problem (time and or moncy).
3. Write a cost equation for cach scenario. Use the greatest integer function
4. Imagine that you are a member of city council Which option would you vote fior if you wanted t maximize revenue?
Explain your thinking clearly. s. Imagine that you are somoone who uses the parking garage whem shopping Which option would be the cheapest for you? Again explain clearly
6. Come up with your own plan and write an equation for it. State wbether the plan would be beneficial to the city or customers
no ideas on any part of this rather long assignment?
expecting the whole solution to just drop in your lap?
To answer the questions in your assignment, let's break it down step by step:
1) Graph each scenario carefully:
To create a graph for each scenario, you can use a coordinate plane with the x-axis representing time in hours and the y-axis representing the cost in cents. Make sure to label the axes and scale them appropriately.
2) Describe each new scenario as a transformation of the original cost:
For each scenario, identify the changes in the cost based on the time intervals. Use the language of transformations to describe these changes, such as vertical shifts, changes in slope, or translations. Also, describe the transformations using the variables in the problem, like time and money.
3) Write a cost equation for each scenario using the greatest integer function:
The greatest integer function, denoted as [x], rounds a number down to the nearest integer. You can use this function to represent the cost equation for each scenario. For example, if the cost is 30 cents for 0.5 hours or more but less than 1 hour, the cost equation can be written as: cost = [0.5x].
4) Decide which option would maximize revenue as a city council member:
To determine which option would maximize revenue, compare the rates of each scenario. Look for the highest cost per unit of time, as this would result in the highest revenue. Calculate the cost per unit of time for each scenario and select the one with the highest value.
5) Determine which option is the cheapest for a parking garage user:
To find the cheapest option, compare the rates of each scenario. Look for the lowest cost per unit of time, as this would result in the lowest expense. Calculate the cost per unit of time for each scenario and select the one with the lowest value.
6) Come up with your own plan and write an equation for it:
Create your own scenario by specifying the cost for different time intervals. Write the equation for this scenario, using the greatest integer function if necessary. State whether your plan would be beneficial to the city or customers, explaining your reasoning.
Overall, go step by step through the assignment, following the instructions provided for each question. Use the given information and mathematical concepts to analyze and explain the scenarios, equations, and decisions.