I believe your answer is B.
A)Plugging in our initial statement values of y = 16 when x = 10, we get:
16 = 10k
Divide each side by 10 to solve for k:
16/10=
k = 1.6
Solve the second part of the variation equation:
Because we have found our relationship constant k = 1.6, we form our new variation equation:
y = 1.6x
Since we were given that x, we have
y = 1.6()
y = 0
B)Plugging in our initial statement values of y = 1 when x = 15, we get:
1 = 15k
Divide each side by 15 to solve for k:
1/15
=15k
k = 0.066666666666667
Since the triangles are similar, they have the same ratio to all corresponding sides. Let's find the ratio of ΔDEF to ΔPQR.
DF/RQ = 25/24
Similarly,
DE/PQ = 25/24
Thus,
PQ = 24/25 DE
PQ = 0.96DE
This means that the length of PQ is 96% of the length of DE.
I hope I was able to help you. Have a good day.
