Question

In $1995,$ there were 315 death sentences rendered by American juries. For the period from 1995 through 2014, the number of death sentences rendered by juries decreased by approximately 13 per year. If this trend continues, by which year will American juries render 29 death sentences? (Source: Death Penalty Information Center) (Section P.8, Example 2)

Name: Problem 110, Chapter 2: Precalculus
Uploaded: 2021-10-07T19:32:04-08:00
Duration: 3 min 2 s
Channel: Julie Buscema
Description: In 1995, there were 315 death sentences rendered by American juries. For the period from 1995 through 2014, the number of death sentences rendered by juries decreased by approximately 13 per year. If this trend continues, by which year will American juries render 29 death sentences? (Source: Death Penalty Information Center) (Section P.8, Example 2)

   In $1995,$ there were 315 death sentences rendered by American juries. For the period from 1995 through 2014, the number of death sentences rendered by juries decreased by approximately 13 per year. If this trend continues, by which year will American juries render 29 death sentences? (Source: Death Penalty Information Center) (Section P.8, Example 2)

Precalculus

Robert Blitzer 6th Edition

Chapter 2, Problem 110

Instant Answer

Solved by Expert Julie Buscema

10/07/2021

Step 1

We can represent this information in the form of a linear equation, where y represents the number of death sentences, x represents the number of years since 1995, and the slope of the line (-13) represents the rate of decrease in death sentences each year. The Show more…

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In $1995,$ there were 315 death sentences rendered by American juries. For the period from 1995 through 2014, the number of death sentences rendered by juries decreased by approximately 13 per year. If this trend continues, by which year will American juries render 29 death sentences? (Source: Death Penalty Information Center) (Section P.8, Example 2)

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Key Concepts

Linear Functions

A linear function describes a relationship between two variables with a constant rate of change, represented by a fixed slope and a y-intercept. This is useful in modeling real-world scenarios where one variable changes at a uniform rate relative to another.

Solving Linear Equations

Solving linear equations involves finding the unknown variable by isolating it on one side of the equation. This process is central in determining when a quantity modeled by a linear function reaches a specific value, such as a target number in a decreasing trend.

Arithmetic Sequence

An arithmetic sequence is a series of numbers in which the difference between consecutive terms is constant. This concept is used to model situations where a quantity increases or decreases regularly over time, such as a consistent annual decrease in a statistic.

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