<p>p.523 # 20
When 15 is divided by the positive integer k, the remainder is 3, For how many different values of k is this true?</p>
<p>p.520 # 8
A total of k passengers went on a bus trip. Each of the n buses that were used to transport the passengers could seat a maximum of x passengers. If one bus had 3 empty seats and the remaining buses were filled, which of the following expresses the relationship among n,x, and k?</p>
<p>p.521 # 11
Senai customized her bicycle by exchanging the front wheel for a wheel that had one half the diameter of the back wheel. Now when Senai rides the bicycle, how many revolutions does the front wheel make for each revolution of the back wheel?</p>
<p>523#20 K must be > 3 (the remainder), and a factor of (15-3) = 12. The factors of 12 are 2,3,4 and 6; only 4 and 6 meet the requirements for K. (You can also check this out by trying all the integers 2,3,...,15 for K, and seeing which ones match).</p>
<p>520#8 (n-1) buses carried x passengers each, and the n'th bus carried (x-3 )pasengers, for a total of K. So (n-1)x + (1)(x-3) = K, which simplifies to
n - 3 = K</p>
<p>521#11 The circumference of the wheel is a linear function of the diameter (circ = pi x diameter). So the front wheel should make 2 revolutions for each revolution of the back wheen. (Try it assuming the back wheel has a diameter of 20 inches, and the front wheel has a diameter of 10 inches; see how many revolutions each wheel makes when the bike travels a distance of 20 pi inches)</p>