IDNLearn.com is committed to providing high-quality answers to your questions. Our platform offers detailed and accurate responses from experts, helping you navigate any topic with confidence.
Sagot :
To determine the correct equation that models the wages of someone who makes [tex]$11.50 per hour, let's break down the components involved.
1. Total Earnings ($[/tex]y[tex]$) and Hours Worked ($[/tex]x[tex]$):
- $[/tex]y[tex]$ represents the total earnings in dollars.
- $[/tex]x[tex]$ represents the number of hours worked.
2. Rate of Pay:
- The rate of pay is $[/tex]11.50 per hour. This means for each hour worked, the person earns [tex]$11.50.
3. Equation Structure:
- In general, if someone earns a fixed rate per hour, the total earnings ($[/tex]y[tex]$) can be calculated by multiplying the hourly rate by the number of hours worked ($[/tex]x[tex]$).
4. Formulating the Equation:
- To find the total earnings, we multiply the hourly rate ($[/tex]11.50[tex]$) by the number of hours worked ($[/tex]x[tex]$).
Thus, the equation that models the total earnings as a function of the number of hours worked would be:
\[ y = 11.50x \]
Now, let's match this to the given options:
- A. \( y = 1150x \) (This implies earning $[/tex]1150 per hour, which is incorrect.)
- B. [tex]\( x = 11.50x \)[/tex] (This is incorrect as it does not relate earnings to hours worked correctly.)
- C. [tex]\( x = 1150x \)[/tex] (This is incorrect as it is not even solving for [tex]$y$[/tex], and the multiplication factor is incorrect.)
- D. [tex]\( y = 11.50x \)[/tex] (This correctly represents earning $11.50 per hour.)
Therefore, the correct equation is:
[tex]\[ \boxed{D. \, y = 11.50x} \][/tex]
- B. [tex]\( x = 11.50x \)[/tex] (This is incorrect as it does not relate earnings to hours worked correctly.)
- C. [tex]\( x = 1150x \)[/tex] (This is incorrect as it is not even solving for [tex]$y$[/tex], and the multiplication factor is incorrect.)
- D. [tex]\( y = 11.50x \)[/tex] (This correctly represents earning $11.50 per hour.)
Therefore, the correct equation is:
[tex]\[ \boxed{D. \, y = 11.50x} \][/tex]
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. For dependable and accurate answers, visit IDNLearn.com. Thanks for visiting, and see you next time for more helpful information.