/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 150 A long-haul truck driver earns \... [FREE SOLUTION] | 91影视

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Chapter 2: Problem 150

A long-haul truck driver earns \(\$ .43\) for each mile driven. How much will a truck driver earn for driving \(1507 \mathrm{mi}\) from Boston to Miami?

Short Answer

Expert verified
The truck driver will earn $648.01 for driving 1507 mi from Boston to Miami.

Step by step solution

01

Understanding the problem

The problem states that a truck driver earns $.43 for each mile driven. Now, he is going to drive 1507 miles from Boston to Miami and our task is to find out how much he will earn.
02

Setting up the multiplication

We know that the driver earns $.43 for 1 mile, so for 1507 miles, he will earn $.43 * 1507.
03

Performing the multiplication

To find the final answer, we need to perform the multiplication. $.43 * 1507 = $648.01

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Earning Calculation
In this context, earning calculation refers to finding out how much money someone makes based on their work or effort. Imagine you're a truck driver traveling long distances for work. For every mile you drive, you earn a certain amount of money. In this exercise, the driver earns $0.43 per mile. To calculate the total earnings, you simply multiply the earnings per mile by the total number of miles driven. This is a practical way to understand how earnings accumulate over time based on distance. For instance, in this scenario, driving 1507 miles would mean multiplying $0.43 by 1507, resulting in a total earning of $648.01.
Distance Multiplication
Distance multiplication can often appear in various real-world scenarios where you are paid or charged per unit of distance. It involves multiplying a fixed rate by the number of distance units (like miles or kilometers). This method helps calculate the overall cost or earnings over a specified distance.
  • For example, a taxi fare costing $2 per mile would use distance multiplication to figure out the total fare for a 10-mile trip ($2 x 10 miles = $20).
  • Similarly, if you are purchasing items priced per kilometer, like road tolls, knowing how to multiply such rates by the kilometers traveled is crucial.
Distance multiplication in our exercise entails the truck driver multiplying his per-mile rate by the number of miles driven to calculate his total earnings.
Math Problem Solving
Math problem solving is about understanding and applying mathematical concepts to tackle real-world problems. It involves several steps:
  • Comprehending the problem: Understand what is being asked. In the given exercise, determine that the goal is to calculate total earnings based on distance.
  • Setting up an equation: Use the information given (like the per-mile earning rate and total miles) to create a mathematical equation.
  • Executing the solution: Perform the necessary calculations, such as multiplication, to find the solution. In this case, multiplying the rate by the distance provides the earnings.
  • Reviewing the results: Check the calculations to ensure the solution is accurate and reasonable within the context.
Solving problems like these enhances your logical thinking and analytical skills, proving to be valuable in everyday life.
Prealgebra
Prealgebra is the foundation of mathematics where you first learn to deal with numbers and basic equations. Concepts such as multiplication and addition, used in the exercise, are crucial. In prealgebra, you learn how to set up and solve simple problems.
These skills help understand the basic principles of math, like multiplying a numeric rate by a number of instances (e.g., $0.43/mile by 1507 miles).
This practice lays the groundwork for algebra and other advance mathematics, as you understand how to manipulate terms and equations. Mastering prealgebra ensures that you can effortlessly approach more complex math problems in the future.

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Most popular questions from this chapter

Explain how baseball batting averages are determined.

Convert the decimal to a fraction. $$0.125$$

Convert the fraction to a decimal. Place a bar over repeating digits of a repeating decimal. $$4 \frac{1}{6}$$

Use newspapers or the Internet to find and list situations in which decimals are used. Determine whether the decimals you find are exact values or approximations. INote: Large numbers (such as 3.2 billion) used to describe values such as the balance of trade or the national debt are approximations. Smaller numbers (such as 1.5866 ) used to describe business transactions such as an exchange rate or a stock price are exact values.]

For Exercises 172 to \(177,\) insert \(+,-, \times,\) or \(\div\) into the square so that the statement is true. $$3.45 \square 0.5=6.9$$
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