Question

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

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

F (x)=

number of pounds (x) cost of apples (f)
0
1
2
6
10
x

Answer 1

To create a function rule \( f \) that gives the total cost of apples based on the number of pounds \( x \), we can use the price per pound.

Given that apples cost $1.25 per pound, the cost function can be expressed as:

\[
f(x) = 1.25x
\]

Where:
- \( f(x) \) is the total cost of apples.
- \( x \) is the number of pounds of apples.

Here's how the function would work with the provided values:

\[
\begin{align*}
f(0) & = 1.25 \times 0 = 0 \\
f(1) & = 1.25 \times 1 = 1.25 \\
f(2) & = 1.25 \times 2 = 2.50 \\
f(6) & = 1.25 \times 6 = 7.50 \\
f(10) & = 1.25 \times 10 = 12.50 \\
\end{align*}
\]

Thus, the function \( f(x) = 1.25x \) accurately calculates the total cost of apples for any given number of pounds \( x \).