Answered

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If [tex][tex]$x$[/tex][/tex] represents the amount Rita earns each week, which expression represents the amount she earns in a year?

A. [tex]x + 52[/tex]

B. [tex]52 - x[/tex]

C. [tex]\frac{x}{52}[/tex]

D. [tex]52x[/tex]

Sagot :

GinnyAnswer
To determine the amount Rita earns in a year, given that she earns [tex]\(x\)[/tex] each week, we need to recognize how many weeks there are in a year. There are typically 52 weeks in a year.

Let's derive the expression step-by-step:

1. Weekly Earnings:
Rita earns [tex]\(x\)[/tex] dollars each week.

2. Number of Weeks in a Year:
There are 52 weeks in a year.

3. Annual Earnings:
To find her total earnings in a year, you need to multiply her weekly earnings by the number of weeks in a year. Thus, the expression will be [tex]\(x\)[/tex] multiplied by 52.

Hence, the yearly earnings can be represented as:
[tex]\[ 52 \times x \text{ or simply } 52x \][/tex]

Now, let's evaluate the given options:

- [tex]\(x + 52\)[/tex]: This represents only adding 52 to her weekly earnings, not multiplying it by the number of weeks.
- [tex]\(52 - x\)[/tex]: This represents subtracting her weekly earnings from 52, which doesn’t relate to total annual earnings.
- [tex]\(\frac{x}{52}\)[/tex]: This implies dividing her weekly earnings by 52, which would tell us the weekly earnings spread over a year, not the total annual amount.
- [tex]\(52x\)[/tex]: This correctly represents her annual earnings by multiplying her weekly earnings by the number of weeks in a year.

Therefore, the correct expression that represents the amount Rita earns in a year is:
[tex]\[ 52x \][/tex]
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