Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Try It: Solving a Word Problem Using an Equation

A plumber charges \[tex]$130 to start a job plus \$[/tex]56 per hour. How many hours did she work if the total bill is \$214?

This problem can be modeled with the equation:

[tex] 130 + 56x = 214 [/tex]

Step 1: Which operation should be performed to isolate the variable term?
Apply the [tex]\(\square\)[/tex] property of equality.

Check

Sagot :

GinnyAnswer
To solve the equation [tex]\(130 + 56x = 214\)[/tex], we need to isolate the variable [tex]\(x\)[/tex]. Follow these steps:

### Step 1: Isolate the Variable Term
First, we need to eliminate the constant term (130) from the left side of the equation. To do this, we perform the following operation:

[tex]\[ 130 + 56x - 130 = 214 - 130 \][/tex]

So, we subtract 130 from both sides of the equation:

[tex]\[ 56x = 84 \][/tex]

### Step 2: Solve for [tex]\(x\)[/tex]
Next, we need to isolate [tex]\(x\)[/tex] by getting rid of the coefficient 56. To do this, we divide both sides of the equation by 56:

[tex]\[ x = \frac{84}{56} \][/tex]

### Step 3: Simplify the Fraction
Finally, we simplify the fraction:

[tex]\[ x = 1.5 \][/tex]

### Conclusion
The plumber worked for 1.5 hours.

Therefore, the plumber worked for [tex]\(1.5\)[/tex] hours to result in a total bill of \$214.
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.