Answer :
To find the equation that models the wages of someone who makes [tex]$6.25 an hour, we need to relate total earnings ($[/tex]y[tex]$) with hours worked ($[/tex]x[tex]$).
1. Understand the relationship: The total earnings ($[/tex]y[tex]$) are calculated by multiplying the number of hours worked ($[/tex]x[tex]$) by the hourly wage. In this case, the hourly wage is $[/tex]6.25.
2. Form the equation: According to the relationship, we can write the equation as:
[tex]\[
y = \text{Hourly wage} \times \text{Hours worked}
\][/tex]
Given that the hourly wage is [tex]$6.25, the equation becomes:
\[
y = 6.25 \times x
\]
3. Identify the correct option: From the given options, we need to find the equation that matches the form we determined:
- A. \( x = 625y \)
- B. \( y = 6.25x \)
- C. \( y = 625x \)
- D. \( x = 6.25x \)
The correct option is B. \( y = 6.25x \), because it correctly reflects that total earnings ($[/tex]y[tex]$) are calculated by multiplying the number of hours worked ($[/tex]x[tex]$) by the hourly rate of $[/tex]6.25.
Therefore, the correct choice is B. [tex]\( y = 6.25x \)[/tex].
1. Understand the relationship: The total earnings ($[/tex]y[tex]$) are calculated by multiplying the number of hours worked ($[/tex]x[tex]$) by the hourly wage. In this case, the hourly wage is $[/tex]6.25.
2. Form the equation: According to the relationship, we can write the equation as:
[tex]\[
y = \text{Hourly wage} \times \text{Hours worked}
\][/tex]
Given that the hourly wage is [tex]$6.25, the equation becomes:
\[
y = 6.25 \times x
\]
3. Identify the correct option: From the given options, we need to find the equation that matches the form we determined:
- A. \( x = 625y \)
- B. \( y = 6.25x \)
- C. \( y = 625x \)
- D. \( x = 6.25x \)
The correct option is B. \( y = 6.25x \), because it correctly reflects that total earnings ($[/tex]y[tex]$) are calculated by multiplying the number of hours worked ($[/tex]x[tex]$) by the hourly rate of $[/tex]6.25.
Therefore, the correct choice is B. [tex]\( y = 6.25x \)[/tex].
