Chapter 4: Q. 501 (page 541)

Fuel consumption. The city mpg, x , and highway mpg, y , of two cars are given by the points $(29, 40)$ and $(19, 28)$ . Find a linear equation that models the relationship between city mpg and highway mpg.

Short Answer

Expert verified

The linear equation is $y = 1.2 x - 5.2$ .

Step by step solution

Step 1. Given Information

We are given two points $(29, 40)$ and $(19, 28)$ .

We have to find the linear equation that models the relationship between city mpg and highway mpg.

Step 2. Finding the slope

The slope of the line with given points is given by,

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} m = \frac{28 - 40}{19 - 29} m = \frac{- 12}{- 10} m = \frac{6}{5}$

Step 3. Finding the linear equation

The linear equation is given by,

$y - y_{1} = m (x - x_{1}) y - 40 = \frac{6}{5} (x - 29) y - 40 = \frac{6}{5} x - \frac{6}{5} \cdot 29 y = \frac{6}{5} x - \frac{174}{5} + 40 y = \frac{6}{5} x - \frac{174 + 200}{5} y = \frac{6}{5} x - \frac{26}{5} y = 1.2 x - 5.2$

The linear equation that models the relationship between city mpg and highway mpg is $y = 1.2 x - 5.2$ .

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Fuel consumption. The city mpg, x , and highway mpg, y , of two cars are given by the points $(29, 40)$ and $(19, 28)$ . Find a linear equation that models the relationship between city mpg and highway mpg.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the slope

Step 3. Finding the linear equation

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Fuel consumption. The city mpg, x , and highway mpg, y , of two cars are given by the points (29,40)and (19,28). Find a linear equation that models the relationship between city mpg and highway mpg.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the slope

Step 3. Finding the linear equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Discrete Mathematics

Geometry

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Fuel consumption. The city mpg, x , and highway mpg, y , of two cars are given by the points $(29, 40)$ and $(19, 28)$ . Find a linear equation that models the relationship between city mpg and highway mpg.