Question

(a) 28x - 14 = 406
ravi works at an amusement park and earns $28 per hour. he also has to pay $14 per week for transportation. last week, he worked x hours. he ended up with a total of $406 after paying for transportation.
ravi works at an amusement park and earns x dollars per hour. he also has to pay $14 per week for transportation. last week, he worked 28 hours. he ended up with a total of $406 after paying for transportation.
ravi works at an amusement park and earns x dollars per hour. he also has to pay $28 per week for transportation. last week, he worked 14 hours. he ended up with a total of $406 after paying for transportation.
ravi works at an amusement park and earns $14 per hour. he also has to pay $28 per week for transportation. last week, he worked x hours. he ended up with a total of $406 after paying for transportation.
none of the above
(b) 24x + 36 = 156

Explanation:

Step1: Analyze the equation 28x - 14 = 406

Ravi earns $28 per hour (28x represents his earnings for x hours) and pays $14 for transportation, and ends up with $406. So the equation 28x - 14 = 406 matches the first - described situation.

Step2: Check other options

The second option has Ravi earning x dollars per hour and working 28 hours, which gives 28x as earnings but the structure of the story doesn't match the given equation. The third option has wrong values for earnings per hour and hours worked in relation to the equation. The fourth option has wrong values for earnings per hour and transportation cost in relation to the equation.

Answer:

Ravi works at an amusement park and earns $28 per hour. He also has to pay $14 per week for transportation. Last week, he worked x hours. He ended up with a total of $406 after paying for transportation.