Chapter 4: Q. 500 (page 540)

Cholesterol.The age, x, and LDL cholesterol level, y, of two men are given by the points $(18, 68)$ and $(27, 122)$ . Find a linear equation that models the relationship between age and LDL cholesterol level.

Short Answer

Expert verified

The linear equation is $y = 6 x - 40$ .

Step by step solution

Step 1. Given Information

We are given two points $(18, 68) and (27, 122)$ ,

We have to find a linear equation that models the relationship between age and LDL cholesterol level.

Step 2. Finding the slope

The slope of the line is given by,

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} m = \frac{122 - 68}{27 - 18} = \frac{54}{9} = 6$

Step 3. Finding the linear equation

The linear equation is given by,

$(y - y_{1}) = m (x - x_{1}) y - 68 = 6 (x - 18) y - 68 = 6 x - 108 y = 6 x - 108 + 68 y = 6 x - 40$

The linear equation that models the relationship between age and LDL cholesterol level is $y = 6 x - 40$ .

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Cholesterol.The age, x, and LDL cholesterol level, y, of two men are given by the points $(18, 68)$ and $(27, 122)$ . Find a linear equation that models the relationship between age and LDL cholesterol level.

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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Cholesterol.The age, x, and LDL cholesterol level, y, of two men are given by the points (18,68)and (27,122). Find a linear equation that models the relationship between age and LDL cholesterol level.

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

Geometry

Applied Mathematics

Theoretical and Mathematical Physics

Probability and Statistics

Decision Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Cholesterol.The age, x, and LDL cholesterol level, y, of two men are given by the points $(18, 68)$ and $(27, 122)$ . Find a linear equation that models the relationship between age and LDL cholesterol level.