Question

14 21 64 96 26 39 1 1.5 b. write an equation that represents the relationship between x and y shown in the table. type the equation in the box below.

Explanation:

Step1: Find the ratio of y to x

Take the first pair (14, 21). Calculate $\frac{21}{14} = \frac{3}{2}$.
Check the second pair (64, 96): $\frac{96}{64} = \frac{3}{2}$.
Third pair (26, 39): $\frac{39}{26} = \frac{3}{2}$.
Fourth pair (1, 1.5): $\frac{1.5}{1} = \frac{3}{2}$.

Step2: Write the equation

Since the ratio of y to x is constant ($\frac{3}{2}$), the relationship is proportional. The equation is $y = \frac{3}{2}x$.

Answer:

$y = \frac{3}{2}x$