Question

Time (minutes)Number of Pages 10 15 20 30 30 45 40 60 The time it takes Bill to read varies directly with the number of pages. Bill's data is shown in the table. If x = time, and y = the number of pages, which equation models Bill's direct variation? A)y = 15x B)y = 1.5x C) y = 15 + x D )y = 1.5 + x

Answer 1

• B. y = 1.5x

Explanation:

Direct variation:

• y = kx

Ordered pairs as per table:

• (10, 15), (20, 30), (30, 45), (40, 60)

Find the value of k:

• 15 = 10k
• k = 15/10
• k = 1.5

The equation is:

• y = 1.5x

Correct choice is B