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Question
when you own a pet, there are one - time costs, such as a leash, and continuing costs, such as food. suppose the one - time costs for owning a small dog are $180, and the continuing costs are $400 per year. which function models the average annual cost of owning a small dog for x years? f(x) = (180 + 400x)/x (marked as correct). complete. the average annual cost of owning a small dog for 10 years is $blank. done
Step1: Identify the function
We have the function for average annual cost \( f(x)=\frac{180 + 400x}{x} \). We need to find the value when \( x = 10 \).
Step2: Substitute \( x = 10 \) into the function
Substitute \( x=10 \) into \( f(x) \):
\( f(10)=\frac{180+400\times10}{10} \)
First, calculate the numerator: \( 180 + 400\times10=180 + 4000 = 4180 \)
Then, divide by \( 10 \): \( \frac{4180}{10}=418 \)
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418