Mathematics, 29.05.2020 09:57 zah16
You have just been promoted to city planner. Your first project is to reduce crime in your city. Over the past couple of decades, crime in your city has been on the rise and more and more people are being affected by it. Also, fewer people are going out after dark, and your city is starting to get a bad reputation for being too dangerous.
In doing research, you find that a great way to reduce crime is by adding more streetlights as a way to deter criminals. The data said that each streetlight per block reduces crime by a percentage of 7% on that block. Currently, your town has about two streetlights per block. You know that number needs to increase, but the city budget does not allow you to simply add as many streetlights as you want. Your city cannot afford that. Streetlights cost, on average, $1,000 each, and another $2,500 for installation. Your city has 5,000 blocks.
Your goal is to reduce crime in your city by 25% overall by adding more streetlights. However, you need to explain how much it will cost and justify the cost to your city council. How much will you have to invest in new streetlights to reach your goal?
Which mathematical expression shows the total cost to install x new streetlights in your city?
A. 1,000 * 2,500(x)
B. 2,500(x) +1,000
C. (1,000 + 2,500)x
D. 1,000 + 2,500 + x
Which statement best summarizes the situation in this problem?
A. Your city does not have enough money in the budget to reduce crime.
B. You are trying to decide how many streetlights you can add in order to reduce crime.
C. Crime is increasing, and you are trying to decide which method to use to reduce it.
D. More criminals have been spotted after dark so people are choosing to stay indoors.
If there was a sale on streetlights, and for every 9 you bought you got one free (but still had to pay installation for all of them), what would be the cost for a total of 200 streetlights, including installation?
A. $190,000
B. $380,000
C. $530,000
D. $680,000
If you have a budget of $20,000,000, what is the greatest number of streetlights you could add to each block if you added the same number of streetlights to each block?
A. 1
B. 2
C. 3
D. 4
According to information in the passage, if the number of streetlights on each block was increased from 2 to 4, crime would
A. double.
B. be cut in half.
C. decrease by 14%.
D. decrease by 50%.
Why would it be nearly impossible to decrease crime by exactly 25%?
A. Crime does not always decrease predictably.
B. Decreasing crime by 25% is too high of a goal.
C. The population is always changing, which changes the crime rate.
D. The exact number of crimes is unknown because some crimes go unreported.
Online Learning has made me go nuts! Please help me with this. I have tried everything and I keep on making the same mistakes. C:
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You have just been promoted to city planner. Your first project is to reduce crime in your city. Ove...
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