Look at is the lid; look into is what's under it

Where the picture shows up in look into

1. 1

   looking inside, then reporting back

   I'll look into it and call you back.

   aɪl lʊk ˈɪntuː ɪt ənd kɔːl juː bæk

   I'll check on it and call you back.

   You open the drawer, look right down into it, then lift your head to answer.

   The most common sentence of all on a work phone call.

2. 2

   inside a missing payment

   The bank is looking into the missing payment.

   ðə bæŋk ɪz ˈlʊkɪŋ ˈɪntuː ðə ˈmɪsɪŋ ˈpeɪmənt

   The bank is checking the payment that never arrived.

   The ledger is opened flat and your eyes run down between the lines of payments.

3. 3

   inside other suppliers

   We're looking into cheaper suppliers.

   wɪr ˈlʊkɪŋ ˈɪntuː ˈtʃiːpər səˈplaɪərz

   We're exploring cheaper suppliers.

   One supplier's folder after another is opened and searched inside.

4. 4

   inside an accident

   Police are looking into the accident.

   pəˈliːs ɑːr ˈlʊkɪŋ ˈɪntuː ði ˈæksɪdənt

   The police are investigating the crash.

   The cover over the crash site is lifted and eyes go down underneath it.

5. 5

   inside the rules

   Have you looked into the visa rules?

   hæv juː lʊkt ˈɪntuː ðə ˈviːzə ruːlz

   Have you checked what the visa rules say?

   The thick rulebook falls open and your eyes push in among the clauses.