Which situation could be represented by the following equation?
600 − 30w = 250
Responses
A Danny has $250 in his checking account. If he deposits $30 a week and receives a bonus check of $600, how many weeks will it take to have $600. Danny has $250 in his checking account. If he deposits $30 a week and receives a bonus check of $600, how many weeks will it take to have $600.
B Alex has a credit of $600 at a gym. The weekly cost of the gym is $30. How many weeks will it take for Alex's credit to be $250?Alex has a credit of $600 at a gym. The weekly cost of the gym is $30. How many weeks will it take for Alex's credit to be $250?
C A tank at the aquarium contains 250 gallons of water. The water is being drained at a rate of 30 gallons per hour. How many days will it take the take for the tank to reach a level of 600 gallons? A tank at the aquarium contains 250 gallons of water. The water is being drained at a rate of 30 gallons per hour. How many days will it take the take for the tank to reach a level of 600 gallons?
D Sam wants to have $600 in his savings account at the end of the semester. He begins with $250 in his account. If he withdraws $30 weekly, how many weeks can Sam withdraw and still meet his budget? Sam wants to have $600 in his savings account at the end of the semester. He begins with $250 in his account. If he withdraws $30 weekly, how many weeks can Sam withdraw and still meet his budget?
A is the answer. At least I’m sure it is.
B Alex has a credit of $600 at a gym. The weekly cost of the gym is $30. How many weeks will it take for Alex's credit to be $250? Alex has a credit of $600 at a gym. The weekly cost of the gym is $30. How many weeks will it take for Alex's credit to be $250?
D Sam wants to have $600 in his savings account at the end of the semester. He begins with $250 in his account. If he withdraws $30 weekly, how many weeks can Sam withdraw and still meet his budget? Sam wants to have $600 in his savings account at the end of the semester. He begins with $250 in his account. If he withdraws $30 weekly, how many weeks can Sam withdraw and still meet his budget?
The situation that could be represented by the equation 600 - 30w = 250 is option D: Sam wants to have $600 in his savings account at the end of the semester. He begins with $250 in his account. If he withdraws $30 weekly, how many weeks can Sam withdraw and still meet his budget?
To understand why option D is the correct answer, let's break down the equation:
600 - 30w = 250
In this equation, "w" represents the number of weeks. The left side of the equation represents the total amount of money Sam will have in his account after w weeks, while the right side represents the target amount of money Sam wants to have ($250).
The equation can be understood as follows: Sam starts with $600 in his savings account (bonus) and withdraws $30 every week. After a certain number of weeks, the amount of money in his account will decrease to $250 (the target amount).
By rearranging the equation, we can solve for the value of "w":
600 - 30w = 250
Subtract 600 from both sides:
-30w = -350
Divide both sides by -30:
w = 350 / 30
So, the equation tells us that Sam can withdraw money for approximately 11.67 weeks and still meet his budget of ending up with $600 in his savings account at the end of the semester.