Question

Please I need help. Using y=k/x, you get k=1.5. So applying this, the first two are correct and in inverse proportion, however the last one doesn’t seem to work. Please help

Answer 1

To determine if s is inversely proportional to f, we need to check if their product is constant. Let's multiply s and f for each row:

s * f = 0.2 * 5 = 1

s * f = 0.5 * 2 = 1

s * f = 1.4 * 0.714 ≈ 1

s * f = 7.5 * 0.133 ≈ 1

s * f = 3 * 0.3 = 0.9

As we can see, the product of s and f is approximately constant for all rows except the last one. This means that s and f are not inversely proportional in general.

However, we can see that the product of s and f is close to 1 for the first four rows. This suggests that s and f may be inversely proportional for values of s less than 3.

To confirm this, we can calculate the constant of proportionality k using the first two rows:

s * f = k

0.2 * 5 = k

k = 1

Therefore, the equation relating s and f is:

s * f = 1

or

f = 1/s

This shows that s and f are indeed inversely proportional for values of s less than 3. However, for s = 3, the product of s and f is 0.9 instead of 1, which means that s and f are not inversely proportional for this value of s.