Answer :
To solve this problem, we need to find out how much Garrett should save from his paycheck. He wants to save 18% of each paycheck, and his paycheck amount is $3,400.
Step 1: Understand what percentage means.
18% of an amount is the same as multiplying the amount by 0.18 (since 18% as a decimal is 0.18).
Step 2: Set up the equation.
The problem asks for the equation that Garrett should use to find the savings amount [tex]\( x \)[/tex]. We can set up the equation using the concept of percentages:
[tex]\[
x = 0.18 \times 3,400
\][/tex]
Step 3: Look at the options to identify the correct equation.
The equation form [tex]\(\frac{18}{100} = \frac{x}{3,400}\)[/tex] relates to [tex]\(x = 0.18 \times 3,400\)[/tex] because it represents the proportion of the part (amount saved) to the whole (paycheck):
1. [tex]\(\frac{18}{100}\)[/tex] represents the percentage as a fraction.
2. [tex]\(\frac{x}{3,400}\)[/tex] implies [tex]\(x\)[/tex] is 18% of 3,400.
Step 4: Choose the right answer.
From the given options:
B. [tex]\(\frac{18}{100} = \frac{x}{3,400}\)[/tex]
This option correctly matches the reasoning and calculation for finding 18% of Garrett's paycheck.
Therefore, the correct equation to find [tex]\(x\)[/tex], the amount Garrett should save, is option B.
Step 1: Understand what percentage means.
18% of an amount is the same as multiplying the amount by 0.18 (since 18% as a decimal is 0.18).
Step 2: Set up the equation.
The problem asks for the equation that Garrett should use to find the savings amount [tex]\( x \)[/tex]. We can set up the equation using the concept of percentages:
[tex]\[
x = 0.18 \times 3,400
\][/tex]
Step 3: Look at the options to identify the correct equation.
The equation form [tex]\(\frac{18}{100} = \frac{x}{3,400}\)[/tex] relates to [tex]\(x = 0.18 \times 3,400\)[/tex] because it represents the proportion of the part (amount saved) to the whole (paycheck):
1. [tex]\(\frac{18}{100}\)[/tex] represents the percentage as a fraction.
2. [tex]\(\frac{x}{3,400}\)[/tex] implies [tex]\(x\)[/tex] is 18% of 3,400.
Step 4: Choose the right answer.
From the given options:
B. [tex]\(\frac{18}{100} = \frac{x}{3,400}\)[/tex]
This option correctly matches the reasoning and calculation for finding 18% of Garrett's paycheck.
Therefore, the correct equation to find [tex]\(x\)[/tex], the amount Garrett should save, is option B.
