A cab company charges according to the following rate chart. Which graph correctly represents the rates?

The graph from the given options that correctly represents the rates is said to be; The first GraphHow to solve Piecewise functions?The general formula for a linear function is;y = mx + bwhere;m is slopeb is y-interceptFrom the complete question, we are told that A cab company charges a $5 pick up fee and $1 for each mile up to 10 miles. Thus:y = 5 + x , x ≤ 10At x = 10, we have:y = 5 + 10y = 15$2 per mile for each mile over $10. Thus:y = 15 + 2(x - 10), x ≥ 10At x = 14, we have that:y = 15 + 2(14 - 10)y = 15 + 8 y = 23.Looking at the graphs in the attached file, we can conclude that the first graph is the correct one.Read more about Piecewise Functions at;