A cab company charges $5 flat rate for the first 3 miles, plus an additional $2 per mile beyond the first 3 miles. If a cab ride costs $23, how long is the cab ride in miles?

Is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis.