Question

Apples at the local farmer's market cost $1.25 per 6 pound.



Write a function rule`f` that gives the total cost of apples in terms of the number of pounds, `x`

Answer 1

To create a function rule \( f \) that gives the total cost of apples in terms of the number of pounds \( x \), we start with the given cost, which is $1.25 for 6 pounds.

First, we determine the cost per pound. The cost per pound can be calculated by dividing the total cost by the number of pounds:

\[
\text{Cost per pound} = \frac{\$1.25}{6 \text{ pounds}} \approx 0.2083 \text{ dollars per pound}
\]

Now we can express the function \( f(x) \), where \( x \) is the number of pounds, as follows:

\[
f(x) = \text{cost per pound} \times x = \left(\frac{1.25}{6}\right) \times x
\]

Simplifying the function gives us:

\[
f(x) = \frac{1.25}{6}x
\]

For clarity, you could also write it as:

\[
f(x) = 0.2083x
\]

So the function \( f \) can be expressed as:

\[
\boxed{f(x) = \frac{1.25}{6} x}
\]

or numerically approximated to:

\[
\boxed{f(x) \approx 0.2083x}
\]

This function will provide the total cost of apples for any input value of \( x \) (the number of pounds).