Delilah buys an $18,000 car for her catering business. The equation below shows her earnings after each catering event, where x represents the number of hours worked.
y=18x 150
If each event is approximately 5 hours long, about how many events must Delilah cater to earn enough money to pay for her car?
There is something missing from your equation (±).
I agree, there IS something missing. Sorry!!!
75
To solve this problem, we need to find the number of events Delilah must cater to earn enough money to pay for her car.
We know that each event is approximately 5 hours long. The equation given, y = 18x - 150, represents the earnings Delilah makes after each catering event, where x is the number of hours worked.
To find the number of events, we need to consider the earnings from all the events together. The total earnings can be represented as:
Total Earnings = (Earnings per Event) * (Number of Events)
The Earnings per Event can be obtained by substituting x = 5 into the equation y = 18x - 150:
Earnings per Event = 18 * 5 - 150 = 90 - 150 = -60
Since the earnings cannot be negative, we cannot use negative values. In this case, negative earnings mean that Delilah would not earn enough money to pay for her car.
Therefore, Delilah needs to cater enough events to earn a positive amount of money to pay for her car. To calculate the number of events, we can rearrange the formula:
Number of Events = Total Earnings / Earnings per Event
In this scenario, Total Earnings is the cost of the car, which is $18,000. Substituting this into the formula:
Number of Events = 18,000 / -60 = -300
Again, we cannot have a negative number of events in this context. Therefore, Delilah would need to cater more than 300 events to earn enough money to pay for her car.
Since it is not possible to have a partial event, Delilah would need to cater at least 301 events to earn enough money to pay for her car.