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Which situation is best represented by the following equation?

20h+40=480


(1 point)
Responses

Stacey was paid $40 last week. She was paid a $20 bonus and $480 for each hour she worked.
Stacey was paid $40 last week. She was paid a $20 bonus and $480 for each hour she worked.

Stacey was paid $480 last week. She was paid a $40 bonus and $20 for each hour she worked.
Stacey was paid $480 last week. She was paid a $40 bonus and $20 for each hour she worked.

Stacey was paid $480 last week. She was paid a $20 bonus and $40 for each hour she worked.
Stacey was paid $480 last week. She was paid a $20 bonus and $40 for each hour she worked.

Stacey was paid $40 last week. She was paid a $480 bonus and $20 for each hour she worked.
Stacey was paid $40 last week. She was paid a $480 bonus and $20 for each hour she worked.

1 answer

To interpret the equation \(20h + 40 = 480\):

  • The term \(20h\) represents the total earnings from the hours worked. Here, \(h\) is the number of hours worked, and \(20\) is the payment per hour.
  • The term \(40\) represents an additional amount, such as a bonus.
  • The right side of the equation \(480\) represents the total earnings.

We can solve for \(h\) to better understand the situation:

  1. Subtract \(40\) from both sides: \[ 20h = 440 \]

  2. Divide both sides by \(20\): \[ h = 22 \]

This tells us that Stacey worked 22 hours and earned $20 per hour, plus a $40 bonus, totaling $480.

Now, based on this breakdown, the situation that best fits the original equation is:

"Stacey was paid $40 last week. She was paid a $20 bonus and $480 for each hour she worked."

This corresponds to the third option.

Correct Response: "Stacey was paid $40 last week. She was paid a $20 bonus and $40 for each hour she worked."