Question

If k(x) = bx and k(a) = 0.2, which option below gives the value of k(–3a)?

o -125
o 125
o -0.6
o 0.6

Answer 1

The value of k(-3a) is found by first determining the value of b from k(a) = 0.2, which allows us to solve for k(-3a) as -3 times 0.2, resulting in -0.6.

Step-by-step explanation:

The question asks us to find the value of k(-3a) given that k(x) = bx and k(a) = 0.2. To solve this, we will first need to determine the value of b, which is the constant of proportionality in the function k(x). Since k(a) = 0.2, we can write the equation ba = 0.2 to solve for b. Then, we can use that value of b to find k(-3a), remembering that k(x) scales the input by b.

Let's solve for b:

ba = 0.2
b = 0.2/a

Next, let's apply b to k(-3a):

k(-3a) = b(-3a)
k(-3a) = (-3a)(0.2/a)

Since a cancels out, this simplifies to:

k(-3a) = -3(0.2)
k(-3a) = -0.6

Therefore, the value of k(-3a) is -0.6.