McGraw Hill Glencoe Algebra 1, 2012
MH
McGraw Hill Glencoe Algebra 1, 2012 View details
2. Solving Linear Equations
Continue to next subchapter

Exercise 9 Page 166

A zero refers to the value of x for which y=0.

See solution.

Practice makes perfect

We are given a function where w represents the weight of the newspapers in Tyrone's delivery bag and n is the number of delivered newspapers. Since the weight of the papers in the delivery bag w is dependent to the amount of delivered newspapers n, w represents the dependent variable y and n represents the independent variable x. w=30-3/4 nWe want to find the zero of this function. To find a zero means to determine the x-intercept of the function — in other words, to find where the function's y-value is 0. By substituting w with 0 and solving for n, we can determine the zero of the function.

w=30-3/4n
0=30-3/4n
3/4n=30
3n/4=30
3n=120
n=40

Now, we know that when n=40, w=0. Let's graph the function!

Recall that w represents the weight of the papers in the delivery bag and n is the number of delivered newspapers. If w=0 when n=40, then the weight of the papers in the delivery bag is 0 pounds when Tyrone has made 40 deliveries. This suggests that Tyrone starts with 40 papers in his bag. When he delivers all 40 papers, his bag is empty and Tyrone has completed his round.