Question

Which situation CANNOT be represented by this equation? 6x−7=29.

A. Joel earns $7 per hour to mow his aunt’s lawn. If he spends $6$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?

Answer 1

Answer: A

Explanation:

Answer 2

Answer: The correct option is

(A). Joel earns $7 per hour to mow his aunt’s lawn. If he spends $6$6 on gas, how many hours, x, will he need to mow to have $29 left?

Step-by-step explanation: We are given to select the situation that CANNOT be represented by the following equation:

`6x-7=29~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

Option (A) :

Since Joel earns$7 per hour, so total earning of Joel in x hours = $ 7x.

Also, he spends $6 on gas and left with $29, so the equation representing this situation will be

`7x-6=29.`

Since the above equation is not same as equation (i), so option (A) is correct.

Option (B) :

Since Joel mows his aunt's lawn for $6 per hour, so total earning of Joel in x hours = $ 6x.

Also, he spends $7 on gas and left with $29, so the equation representing this situation will be

`6x-7=29.`

Since the above equation is same as equation (i), so option (B) is incorrect.

Option (C) :

Since Joel takes 6 hours to mow his aunt's lawn, so total earning of Joel if he earns $x per hour x hours = $ 6x.

Also, he spends $7 on gas and left with $29, so the equation representing this situation will be

`6x-7=29.`

Since the above equation is same as equation (i), so option (C) is incorrect.

Since the equation in option (A) does not match with equation (i), so, option (A) is correct.