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Chapter 3: Problem 7

The running back of your favorite football team lost 6 yards per carry for a total of a 30 -yard loss. Use negative integers to represent a loss in yardage and calculate the number of plays that were involved in this yardage loss.

Short Answer

Expert verified
Answer: 5 plays (carries).

Step by step solution

01

Represent the loss in yardage using negative integers

Here, the loss in yardage per carry is 6 yards. So, we represent it as -6. And, the total yardage loss is 30 yards, represented as -30.
02

Set up the equation

Let x be the number of plays that the running back lost yardage. Since he lost 6 yards per carry, for x carries, the total loss would be -6x. We know that this total loss is -30. So, we have the equation: -6x = -30.
03

Solve the equation for x

-6x = -30, Let's solve for x by dividing both sides of the equation by -6. x = -30 / -6
04

Calculate the value of x

Now, let's find the value of x by plugging the numbers into the equation: x = -30 / -6 x = 30 / 6 x = 5 So, there were 5 plays (carries) involved in this 30-yard loss.

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