Question

question 22 of 25
if y represents total earnings in dollars and x represents hours worked, then
the equation that corresponds to the earnings of someone who makes
$11.50 an hour is ______.

a. $y = 11.50x$

b. $x = 11.50y$

c. $y = \frac{11.50}{x}$

d. $y = 11.50 + x$

Explanation:

Step1: Understand the relationship

Total earnings (\( y \)) depend on hours worked (\( x \)) and hourly rate (\( 11.50 \)). Earnings = Hourly rate × Hours worked.

Step2: Form the equation

Using the relationship, substitute hourly rate (\( 11.50 \)) and hours (\( x \)): \( y = 11.50 \times x \), or \( y = 11.50x \).

Step3: Eliminate other options

• Option B swaps \( x \) and \( y \), incorrect.
• Option C is a reciprocal relationship, incorrect.
• Option D adds \( x \) to the rate, incorrect.

Answer:

A. \( y = 11.50x \)