A delivery truck has 40,000 miles on its odometer and travels an average of 22,000 miles per year. Which function best models the linear relationship? y = 22,000x − 40,000 y = –22,000x + 40,000 y = 22,000x + 40,000 y = 40,000x − 22,000

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Question:

A delivery truck has 40,000 miles on its odometer and travels an average of 22,000 miles per year. Which function best models the linear relationship? y = 22,000x − 40,000 y = –22,000x + 40,000 y = 22,000x + 40,000 y = 40,000x − 22,000

Answer:

The function that best models the linear relationship will be y = 22,000x + 40,000.

Let the number of years be represented by x.

From the information given, the delivery truck has 40,000 miles on its odometer and travels an average of 22,000 miles per year, this will then be;

y = 40000 + (22000 × x)

y = 40000 + 22000x

Therefore, the function that best models the linear relationship will be y = 22,000x + 40,000.

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