The graph from the given options that correctly represents the rates is said to be; The first Graph
The general formula for a linear function is;
y = mx + b
where;
m is slope
b is y-intercept
From 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 ≤ 10
At x = 10, we have:
y = 5 + 10
y = 15
$2 per mile for each mile over $10. Thus:
y = 15 + 2(x - 10), x ≥ 10
At 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; https://brainly.com/question/22295833
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