Write an inequality that represents the following scenario:

Question

Katlyn takes 20 minutes to walk from her house to the supermarket and back. After stepping outside her house, she takes 1 minute to tie her shoes and 2 minutes to check the route on her phone. How many trips can she take to the supermarket and back in 60 minutes?(1 point)
Responses

20t+3≤60
20 t plus 3 less-than-or-equal-to 60

20t−3≤60
20 t minus 3 less-than-or-equal-to 60

20t+3<60
20 t plus 3 less than 60

20t+3≥60

Answer 1

To solve this problem, we need to account for the total time taken for each trip to the supermarket and back, along with the additional time spent tying her shoes and checking the route.

1. Each round trip to the supermarket takes 20 minutes.
2. Katlyn spends an additional 1 minute tying her shoes and 2 minutes checking her phone.
3. Therefore, the total time for one round trip is:
   • Trip time: 20 minutes
   • Additional time: 1 minute (tying shoes) + 2 minutes (checking route) = 3 minutes

So, the total time for one trip is: \[ 20 + 3 = 23 \text{ minutes} \]

Let \( t \) represent the number of trips. The total time spent for \( t \) trips is: \[ 23t \]

We want to ensure that this total time does not exceed 60 minutes, which leads us to set up the following inequality: \[ 23t \leq 60 \]

However, from the options you provided, they seem to be incorrect based on this proper setup as none of them match the derived inequality.

The correct inequality based on the calculations should be: \[ 23t \leq 60 \]

You can simplify this further if needed, but among your responses, none accurately reflect the correct calculation. If we were to match one closely and account for a similar structure, you might want to check for options reflective of this calculation. Please let me know if you would like further assistance or clarification!

Answer 2

pike one