Assume there is a linear relationship between the curb weight of a car (in thousands of kilograms) and its combined mileage (in miles per gallon). the hummer h2 has a weight of 3 thousand kg and mileage of 9 mpg, while a ford taurus sedan weighs 1.9 thousand kg and gets 21 mpg. what is the mileage of a chevy cavalier weighing 1.1 thousand kg?

The mileage of a Chevy Cavalier weighing 1.1 thousand kg is 29.72 mpg.

Step-by-step explanation:

if there is a linear relationship between two variables x and y , then we represent this relation in the form of equation as :   (*)

, where m = rate of change of y with respect to x

c= Constant or the value of y when x=0.

We assume there is a linear relationship between the curb weight of a car (in thousands of kilograms) and its combined mileage (in miles per gallon).

Let y= combined mileage (in miles per gallon)

x= curb weight of a car (in thousands of kilograms)

When x= 3 thousand kg  , y = 9 mpg

⇒                   [Put values in (*)]

⇒

When x= 1.9 thousand kg  , y = 21 mpg

⇒                   [Put values in (*)]

⇒

Eliminate the equation (1) from (2) , we get

Put value of m in (1) , we gte

Substitute the value of m and c in (*) , we get

When x= 1.1

Hence, the mileage of a Chevy Cavalier weighing 1.1 thousand kg is 29.72 mpg.

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step-by-step explanation: