Question

question 10 of 10
if y represents total earnings in dollars and x represents hours worked, then which equation models the wages of someone who makes $6.25 an hour?

a. $y = 625x$

b. $x = 6.25x$

c. $y = 6.25x$

d. $x = 625y$

Explanation:

Step1: Understand the relationship

Total earnings (\( y \)) depend on hours worked (\( x \)) and hourly wage (\( 6.25 \)). The formula for total earnings is \( \text{Total} = \text{Hourly Wage} \times \text{Hours} \).

Step2: Substitute values

Here, hourly wage is \( 6.25 \), hours is \( x \), and total earnings is \( y \). So substituting into the formula gives \( y = 6.25 \times x \), or \( y = 6.25x \).

Step3: Eliminate other options

• Option A uses \( 625 \) instead of \( 6.25 \), incorrect.
• Option B has \( x = 6.25x \), which is illogical (hours can't equal 6.25 times hours).
• Option D relates \( x \) and \( y \) incorrectly with \( 625 \), not matching the wage.

Answer:

C. \( y = 6.25x \)