Question

Write a real world situation that could be modeled by the equation. then solve for the unknown in the situation. 60 + 25x = 35x + 20

Answer 1

A real world example of this equation might look something like this:

John Smith wanted to subscribe to Vague Co. In order to subscribe, there is an initial fee of $60, and an additional fee of $25 for each month that he's subscribed. However, John found another company he wanted to subscribe to, Random Inc., which had an initial fee of $20 and an additional fee of $35 per month. After doing a bit of math, John found that the cost to subscribe to both companies is equal for x months. How many months would it take for the costs of both subscriptions to be equal?

60 + 25x = 35x + 20   Given
60 = 10x + 20   Subtract 25x from both sides
40 = 10x   Subtract 20 from both sides
4 = x   Divide both sides by 10

It would take 4 months for the costs of a subscription to Vague Co. and Random Inc. to be equal.

Answer 2

Answer:

Sample Response: First, the variable needs to be determined. Then identify key words and translate the description. If possible, create a model, such as a diagram or table. Then write the equation using the variable.