Question

bashir is writing a book about stand - up comedians and how to survive the comedy circuit. because he took his sweet time, his editor decided to force some serious deadlines. at this point, bashir has written only 4 chapters. his editor explained that he must turn in one chapter every month so they can publish the book on time.
define a unit for the amount of time since bashirs editor intervened. enter a variable for the amount of time since bashirs editor intervened and use this variable to write an expression for the number of chapters bashir has written.

1. how many chapters will the book have after 8 weeks? (assume there are 4 weeks in a month.)
2. time to celebrate! bashir turned in the last chapter. if his book contains 19 chapters, how many months did it take him to finish the book after his editor intervened?

after completing the worksheet, graph your model.

Explanation:

Step1: Find the linear relationship

Let \(C\) be the number of months since the editor intervened. Bashir had 4 chapters initially and writes 1 chapter per month. So the expression for the number of chapters \(N\) is \(N = 4 + C\).

Step2: Solve for 8 weeks

Since there are 4 weeks in a month, 8 weeks is \(8\div4=2\) months. Substitute \(C = 2\) into \(N = 4 + C\). So \(N=4 + 2\).

Step3: Solve for 19 chapters

Substitute \(N = 19\) into \(N = 4 + C\). Then \(19=4 + C\), which gives \(C=19 - 4\).

Answer:

1. \(6\) chapters.
2. \(15\) months.