Question

f(x) is represented by ten less than fifteen times a number. What is the value when f(x)=-4

a
-50

b
-70

c
-40

Answer 1

Let's start by translating the information given in the problem into an equation.

The function \( f(x) \) is given as "ten less than fifteen times a number." If we let that number be \( x \), we can write the function as:

\[
f(x) = 15x - 10
\]

Now we are given that \( f(x) = -4 \). We can set up the equation:

\[
15x - 10 = -4
\]

Now, let's solve for \( x \):

1. Add 10 to both sides:

\[
15x = -4 + 10
\]

\[
15x = 6
\]

2. Now, divide by 15:

\[
x = \frac{6}{15} = \frac{2}{5}
\]

Now we have the value of \( x \) when \( f(x) = -4 \). We can now check which value among the options corresponds to this result.

However, it seems like your options (a, b, c) don’t have the value of \( x \) but may refer to some outcome. If the question asks for \( f(x) \) and we already found that \( f(x) = -4 \), then none of the choices \( -50 \), \( -70 \), or \( -40 \) are correct if they are supposed to be the value of \( f(x) \).

If the question requires finding another \( x \) value or interpreting those values under another context, please clarify.

But if you are looking to verify \( f(x) = -4 \), that is confirmed.