Question

Han's cell phone plan costs $200 to start. Then there is a $50 charge each month. Which equation represents the situation where y is the total cost and x is months? Group of answer choices y = 50x + 200 y = 50 + 200x y = 200 + 50x y = 200x + 50 50x + 200 = y 200x + 50 = y

Answer 1

The correct equation to represent the total cost of Han's cell phone plan, with y as the total cost and x as the number of months, is y = 200 + 50x. This equation includes the initial fee plus the monthly charges.

Step-by-step explanation:

The student is asking for the correct linear equation to represent the total cost of Han's cell phone plan over the months. This cost involves an initial start-up cost plus a monthly charge. According to the given information, Han pays a starting cost of $200 and then $50 each month. To express this mathematically, let y be the total cost and x be the number of months. The correct equation would be the one that starts with the fixed cost and adds the monthly cost multiplied by the number of months.

y = 200 + 50x

This equation clearly shows the initial cost of $200 and adds $50 for each month that Han has the cell phone plan.

Answer 2

The equation representing Hans's cell phone plan cost is y = 50x + 200, where x represents the number of months and y is the total cost.

The student is trying to formulate an equation that can be used to calculate the total cost of Hans's cell phone plan. The initial cost to start the plan is $200, and then there is a monthly charge of $50. Hence, the cost increases by $50 each month.

Therefore, 'x' which represents the number of months should be multiplied by the monthly charge, which is $50. The initial cost of $200 is fixed and does not change with the number of months, so we just add this to the product of 'x' and 50.