Question

apples at the local farmers 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.

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

f(x)=_____

Answer 1

To create a function rule that gives the total cost of apples based on the number of pounds \( x \), you can use the given price per pound. The price of apples is $1.25 per pound, so the total cost function \( f(x) \) can be expressed as:

\[
f(x) = 1.25x
\]

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

Now, let's calculate the cost of apples for the given number of pounds:

1. For \( x = 0 \):
\[
f(0) = 1.25 \times 0 = 0
\]
2. For \( x = 1 \):
\[
f(1) = 1.25 \times 1 = 1.25
\]
3. For \( x = 2 \):
\[
f(2) = 1.25 \times 2 = 2.50
\]
4. For \( x = 6 \):
\[
f(6) = 1.25 \times 6 = 7.50
\]
5. For \( x = 10 \):
\[
f(10) = 1.25 \times 10 = 12.50
\]

So, the costs for the given pounds are:

- \( f(0) = 0 \)
- \( f(1) = 1.25 \)
- \( f(2) = 2.50 \)
- \( f(6) = 7.50 \)
- \( f(10) = 12.50 \)

In summary, the function \( f \) for the total cost of apples in terms of the number of pounds \( x \) is:

\[
f(x) = 1.25x
\]

And the corresponding costs for the specified pounds are:

- \( f(0) = 0 \)
- \( f(1) = 1.25 \)
- \( f(2) = 2.50 \)
- \( f(6) = 7.50 \)
- \( f(10) = 12.50 \)