Solve.
-y varies directly as x. If y = 224 when x = 16, find y when x = 15.
A)y = 196
B)y = 225
C)y = 256
D)y = 210

Question

Quizplus · Accepted Answer

If y varies directly as x, we can write the proportion y/x = k, where k is the constant of proportionality. Solving for k, we have k = y/x.

Using the values given, we can write:

k = y/x = 224/16 = 14

Now we can use the same equation with the new value of x to find y:

y = kx = 14(15) = 210

Therefore, when x = 15, y = 210, which corresponds to answer choice D. y varies directly as x is represented mathematically as y=kx, where k is the constant of variation. 
To find the value of k, substitute the given values: 
224=k(16) 
k=14 
So, the equation is y=14x. 
To find y when x=15, substitute x=15 into the equation: 
y=14(15) 
y=210 
Therefore, the answer is D) y=210.

Solve. -Y Varies Directly as X. If Y = 224 When