Question

Question 1 (5 points)

If f(x) varies directly with x and f(x)= 130 when x=25 , find the value of f(x) when x=6.
Round you final answer to the nearest whole number.

Answer 1

f(6) ≈ 31

Explanation:

If f(x) varies directly with x, we can write f(x) this way:

f(x) = kx

Using the given values, we can find k:

f(25) = k×25 = 130

k = 130/25 = 5.2

Then for x = 6, we have ...

f(x) = 5.2x

f(6) = 5.2×6 = 31.2

Rounded to the nearest whole number, ...

f(6) ≈ 31