Consider the formula M = 4c^2/d. If c is doubled and d is increased by a factor of 2, by what factor is M increased? Pick one.
A) 1 B) 2 C) 3 D) 4 E) 5
We have,   M = 4c^2/d   If c is doubled and d is increased by a factor of 2, the formula changes to:   M = 4*{(2c)^2}/(2d)   M = 4*{4c^2}/(2d)   M = 4*[2c^2/d]   At first, M = 4c^2/d   After changing c and d, M = 2*4c^2/d   Hence, M changes by a factor of 2.   Answer = 2 = 2
<result>B</result>
Consider the formula M = 4c^2/d. If c is doubled and d is increased by a factor of 2, by what factor is M increased?