Question

lorenzo loves to read and discuss books, so he joined a book club. the first book he read as a member of the club was a novel set in ancient rome. this table shows the relationship between the time lorenzo has spent reading the novel (in hours), x, and the number of pages he has read, y. x (hours) y (pages) 1 20 3 60 4 80 5 100 according to the values in the table, do x and y have a proportional relationship? yes no

Explanation:

Step1: Check ratio for each pair

For each $(x,y)$, calculate $\frac{y}{x}$:

• $\frac{20}{1}=20$
• $\frac{60}{3}=20$
• $\frac{80}{4}=20$
• $\frac{100}{5}=20$

Step2: Verify constant ratio

All ratios equal 20, a constant value.

Answer:

yes