A college has a financial aid formula that applies to applicants whose family's income is below a certain threshold. The financi
al aid can be determined by the function f(x)=5000+1000x, where x is the number of siblings (including half siblings and step siblings) that the applicant has living in their household. Find and interpret the given function values and determine an appropriate domain for the function.
If we set the unknown distance (in miles) as x, then we set up an equation according to the data, we can solve for x.
Time taken to go to resort : x/48 Time taken to return : x/40 Total time = x/48+x/40 = 11 Solve for x common multiple between 48 and 40 = 240 so 5x/240 + 6x/240 = 11 (5x+6x)/240 = 11 11x = 11*240, => x=240 Distance from home to resort is 240 miles