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Chapter 12: Q.12.14 (page 714)

Due to erosion, a river shoreline is losing several thousand pounds of soil each year. A linear equation that expresses the total amount of soil lost per year is y=12,000x.

What is the y-intercept? Interpret its meaning.

Short Answer

Expert verified

The y-intercept is 0because of the fixed amount of soil lost in the pound that even the first year is not started yet.

Step by step solution

01

Given information 

Given in the question that a linear equationy=12,000x

02

Solution 

The general linear equation formula is,

y=a+bx

Here,

a=y-intercept

b=slope

The y is a dependent and x is an independent variable.

In the question, y is the soil lost in the pound and x is the time or year.

Now the equation is

y=12,000x

Here the y-intercept is 0that means the fixed amount of soil lost in the pound that even the first year is not started yet. meansx=0.

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