when you own a pet, there are one - time costs, such as a leash, and continuing costs, such as food. suppose…

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. the average annual cost of owning a small dog for 10 years is $418. the function g(x)=(140 + 500x)/x models the average annual cost of owning a cat for x years. on average, which pet costs more per year over a 10 - year period?

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. the average annual cost of owning a small dog for 10 years is $418. the function g(x)=(140 + 500x)/x models the average annual cost of owning a cat for x years. on average, which pet costs more per year over a 10 - year period?

Answer

Explanation:

Step1: Calculate dog's average cost for 10 years

Substitute $x = 10$ into $f(x)=\frac{180 + 400x}{x}$. $f(10)=\frac{180+400\times10}{10}=\frac{180 + 4000}{10}=\frac{4180}{10}=418$.

Step2: Calculate cat's average cost for 10 years

Substitute $x = 10$ into $g(x)=\frac{140+500x}{x}$. $g(10)=\frac{140 + 500\times10}{10}=\frac{140+5000}{10}=\frac{5140}{10}=514$.

Step3: Compare the costs

Since $514>418$, the cat costs more per - year.

Answer:

The cat costs more per year.