Question

12/15 ratios and proportions
x | 1 | 2 | 3 | 4
y | 5 | 10 | 15 | 20
graph the proportional relationship given in the table.
what is the y - value when x = 8?
(graph with x - axis from 0 to 8 and y - axis from 0 to 35)

Explanation:

Step1: Identify the relationship

From the table, when \( x = 1 \), \( y = 5 \); \( x = 2 \), \( y = 10 \), etc. The ratio \( \frac{y}{x}=\frac{5}{1} = 5 \), \( \frac{10}{2}=5 \), so \( y = 5x \).

Step2: Calculate y when x = 8

Substitute \( x = 8 \) into \( y = 5x \), so \( y = 5\times8 = 40 \).

Answer:

40