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) pike one
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 set up the inequality, we first need to understand the components of Katlyn's trip:

1. Total time for one trip to the supermarket and back: 20 minutes.
2. Time taken for tying her shoes: 1 minute.
3. Time taken for checking the route: 2 minutes.
4. Total time for preparation before the trip: 1 + 2 = 3 minutes.

Let \( t \) be the number of trips to the supermarket. The total time spent will then be the time for the trips plus the preparation time:

\[ 20t + 3 \]

To find out how many trips she can make in 60 minutes, we set up the inequality:

\[ 20t + 3 \leq 60 \]

So, the correct inequality that represents the scenario is:

20t + 3 ≤ 60.