Suppose the numbers A and B are directly proportional. Given that A = 6 when B = 14, what is the value of B if A = 9?
2 answers:
Answer:
21
Step-by-step explanation:
Old A: 6 New A: 9
Multiply 6 by 1.5 to get 9.
Therefore multiply 14 by 1.5 as well, which gives you 21.
Answer:
21
Step-by-step explanation:
The equation for direct proportion is
A = kB
We know A and B
6 = k (14)
Divide by 14
6/14 = 14k/14
3/7 = k
Rewriting
A = 3/7 B
Given A =9
9 = 3/7B
Multiply each side by 7/3 to isolate B
7/3 * 9 = 7/3 *3/7 B
21 = B
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