Question

Mai is filling her fish tank. Water flows into the tank at a constant rate. Complete the table and answer the question below.

Answer 1

Answer:

$r = 1.6$

Step-by-step explanation:

Given

x   -----   y

0.5. --- 0.8

1. --- 1.6

3.--- 4.8

25. --- 40

Required

Determine the constant of proportionality

This can be calculated using the following formula:

$y = rx$ ; Where r is the constant of proportionality;

Solve for r

$r = \frac{y}{x}$

When x = 0.5; y = 0.8

$r = \frac{0.8}{0.5}$

$r = 1.6$

When x =  1; y =1.6

$r = \frac{1.6}{1}$

$r = 1.6$

When x =  3; y = 4.8

$r = \frac{4.8}{3}$

$r = 1.6$

When x =  25; y = 40

$r = \frac{40}{25}$

$r = 1.6$

Notice that the value of r is constant throughout;

Hence:

$r = 1.6$