which equation equals to 20+12x=240

joanie earns 12 dollars per hour, plus a 20 dollars for completing the training program. this week Joanie earned 240 dollars
isaiah is saving 12 dollars per week from his allowance. after 20 weeks, Isaiah has 240 dollars
Felix exercises by spending 12 minutes warming up and then running for 20 minutes. he has exercised a total of 240 minutes this month

1 answer

The equation \(20 + 12x = 240\) is related to the first scenario about Joanie.

Here’s how it breaks down:

  • Joanie earns $12 per hour (which can be represented as \(12x\), where \(x\) is the number of hours worked).
  • She also earns a one-time bonus of $20 for completing the training program.
  • If Joanie earned a total of $240 this week, the equation representing her total earnings is:

\[ 20 + 12x = 240 \]

The other scenarios do not directly correlate to this equation.

  1. Isaiah's saving: The equation for Isaiah saving $12 per week for 20 weeks would be \(12 \times 20 = 240\), but it is a calculation rather than an equation like the one provided.

  2. Felix's exercise: Felix's total exercise time doesn't relate to the form of the equation \(20 + 12x = 240\). His total could be \(12 \text{ minutes} + 20 \text{ minutes} \cdot x = \text{ total minutes}\), but it doesn't equate to a single simple equation outcome as stated.

So, again, the first scenario with Joanie clearly corresponds to the equation \(20 + 12x = 240\).

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