Final answer:
To find the relationship where the constant of proportionality is 64, we can calculate the ratios for each answer choice. The ratio for option c) is 1/4, meaning A is equal to 1/4 of B.
Step-by-step explanation:
To find the relationship where the constant of proportionality is 64, we can check each answer choice by determining the ratio of A to B. Let's calculate the ratios for each answer choice:
- a) A/B = 8/2 = 4
- b) A/B = 12/6 = 2
- c) A/B = 4/16 = 1/4
- d) A/B = 32/4 = 8
We can see that the ratio for option c) is 1/4, which means A is equal to 1/4 of B. Therefore, the answer choice with a relationship where the constant of proportionality is 64 is c) A = 4 when B = 16.