Final answer:
The number of food trucks in a city has been increasing by 50% annually. By following the pattern, there will be approximately 95 food trucks in the year 2030.
Step-by-step explanation:
To find the number of food trucks in the year 2030, we need to calculate the annual increase and then add it to the initial number of food trucks. The number of food trucks increased by 50% annually, which means they multiplied by 1.5 each year. In 2010, there were 2 food trucks. So, for each year after 2010, the number of food trucks can be calculated as:
Year 2011: 2 x 1.5 = 3
Year 2012: 3 x 1.5 = 4.5 (rounded to 5)
Year 2013: 5 x 1.5 = 7.5 (rounded to 8)
... and so on
Continuing this pattern, we can calculate the number of food trucks in the year 2030:
Year 2030: 2 x 1.5^20 = 95.37 (rounded to 95)
Therefore, there will be approximately 95 food trucks in the year 2030.