Interval produced by center and percentage tolerance

Define a constructor make-center-percent that takes a center and a percentage tolerance and produces the desired interval. You must also define a selector percent that produces the percentage tolerance for a given interval. The center selector is the same as the one shown above.


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(define (make-interval a b) (cons a b))

(define (lower-bound i)
	(car i))

(define (upper-bound i)
	(cdr i))

(define (center i)
  (/ (+ (lower-bound i) (upper-bound i)) 2))

(define center-test 4)

(define interval (make-interval 3 5))

(define center-interval (make-center-percent center-test 25))

(define center-test2 100)

(define interval2 (make-interval 90 110))

(define center-interval2 (make-center-percent center-test2 10))


(check-equal? (center interval) center-test)
(check-equal? interval center-interval)
(check-equal? (center interval2) center-test2)
(check-equal? interval2 center-interval2)
(check-equal? (percent interval) 25)
(check-equal? (percent center-interval2) 10)