Question

Write a linear equation to represent the relationship between the number of pages in the yearbook and its cost.

A. c = 7p + 0.03
B. c = 0.03p + 7
C. c = 0.07p + 3
D. c = 3p + 7

Answer 1

The linear equation that represents the relationship between the number of pages in the yearbook and its cost is c = 0.03p + 7 (option B). For a textbook with 400 pages, the predicted cost is $19. For a textbook with 600 pages, the predicted cost is $25.

Step-by-step explanation:

The linear equation that represents the relationship between the number of pages in the yearbook and its cost is c = 0.03p + 7 (option B).

To understand this equation, let's break it down. 'c' represents the cost of the yearbook, and 'p' represents the number of pages in the yearbook. The coefficient of 'p', which is 0.03, represents the cost per page. The constant term, 7, represents any additional fixed cost.

1. For a textbook with 400 pages, to predict the cost, substitute 'p' with 400 in the equation:
   c = 0.03(400) + 7 = 12 + 7 = 19
2. For a textbook with 600 pages, to predict the cost, substitute 'p' with 600 in the equation:
   c = 0.03(600) + 7 = 18 + 7 = 25

To obtain the graph of this linear equation, you can use a calculator or computer software that allows graphing. The regression line on the graph will represent the relationship between the number of pages and the cost of the yearbook.