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

Question

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

GPT-4o mini · Answer

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 $.