Which situation CANNOT be represented by this equation? 6x−7=29
CLEAR CHECK
A)**Joel earns $7 per hour to mow his aunt’s lawn. If he spends $6 on gas, how many hours, x, will he need to mow to have $29 left?
B)Joel mows his aunt's lawn for $6 per hour. If he spends $7 on gas, how many hours, x, will he need to spend mowing the lawn to have $29 left?
C)Joel takes 6 hours to mow his aunt’s lawn. If he spends $7 on gas, how much does he get paid per hour, x, to mow the lawn and still have $29 left?
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Yes, you are correct. The situation that cannot be represented by the equation 6x-7=29 is C) Joel takes 6 hours to mow his aunt's lawn. If he spends $7 on gas, how much does he get paid per hour, x, to mow the lawn and still have $29 left?
To solve this problem, we need to understand the equation 6x−7=29. The equation represents a situation where someone starts with a certain amount of money and then spends 7 dollars (represented by -7) and is left with a final amount of 29 dollars.
Now let's consider the given situations and see if they match the equation:
A) "Joel earns $7 per hour to mow his aunt’s lawn. If he spends $6 on gas, how many hours, x, will he need to mow to have $29 left?"
In this situation, Joel earns money by mowing the lawn. It does not involve starting with a certain amount of money and spending some of it. Thus, situation A can be represented by the equation 6x−7=29.
B) "Joel mows his aunt's lawn for $6 per hour. If he spends $7 on gas, how many hours, x, will he need to spend mowing the lawn to have $29 left?"
Similar to situation A, Joel earns money by mowing the lawn. This can also be represented by the equation 6x−7=29.
C) "Joel takes 6 hours to mow his aunt’s lawn. If he spends $7 on gas, how much does he get paid per hour, x, to mow the lawn and still have $29 left?"
In this situation, Joel spends a certain amount of time mowing the lawn and then wants to determine his hourly wage. It does not involve starting with a certain amount of money and spending some of it. Therefore, situation C cannot be represented by the equation 6x−7=29.
Correct answer: C) Joel takes 6 hours to mow his aunt’s lawn. If he spends on $7 gas, how much does he get paid per hour, x, to mow the lawn and still have $29 left.