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