Question

before a movie starts, 2 people arrive each minute. After correctly carrying out the Solve step of the five-step problem-solving plan, which solution should you arrive at to find the number of minutes that must pass until there are 70 people in the theater?

Answer 1

Step 1: Let us first list down the given information. We are given 2 people enter the theater every one minute. Also, we need to have 70 people in the theater.

Step 2: Let us assume that x represents the number of minutes that must pass until there are 70 people in the theater.

Step 3: Since 2 people arrive per minute. Therefore, total number of people who arrive at the theater in x minutes can be expressed as
`2x`.

Step 4: We can now frame a linear equation using the fact that there are 70 people in the theater in x minutes:

`2x=70`

Step 5: In order to find the number of minutes, we will divide this equation by 2 on both the sides:

`(2x)/(2) =(70)/(2) \\ x=35`

Therefore, 35 minutes must pass in order for 70 people to arrive at the theater.