Question

Which answer choice has a relationship where the constant of proportionality is 64?

a) A = 8 when B = 2
b) A = 12 when B = 6
c) A = 4 when B = 16
d) A = 32 when B = 4

Answer 1

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.