Tamera texted a photo of a dolphin to 5 friends. She asked each of her 5 friends. She asked each of her 5 friends to text it to 5 more friends. The photo chain continued with each person texting the photo to 5 more friends. How many photos of the dolphin will be texted after 4 rounds? Write and evaluate an expression that shows the number of photos.
To find the number of photos of the dolphin after 4 rounds, we need to calculate the total number of photos that were texted in each round.
In the first round, Tamera sent the photo to 5 friends, so there are 5 photos.
In the second round, each of the 5 friends received the photo and texted it to 5 more friends. So each friend sent 5 photos, resulting in a total of 5 x 5 = 25 photos.
In the third round, each of the 25 friends received the photo and texted it to 5 more friends. So each friend sent another 5 photos, resulting in a total of 25 x 5 = 125 photos.
In the fourth round, each of the 125 friends received the photo and texted it to 5 more friends. So each friend sent another 5 photos, resulting in a total of 125 x 5 = 625 photos.
We can see a pattern here: each round multiplies the number of photos by 5. So, to calculate the number of photos after 4 rounds, we can use the expression: 5^4.
Now, let's evaluate the expression:
5^4 = 5 x 5 x 5 x 5 = 625
Therefore, after 4 rounds, there will be a total of 625 photos of the dolphin texted.