Sven includes bike riding in his daily exercise plan. on day 1, he rides around the block 2 times. on the following 4 days, he rides double the number of times he rode around the block on the previous day. how many times does he ride around the block on day 4?

For this case we have an equation of the potential type.
 y = A * (b) ^ x
 Where,
 A: initial amount
 b: rate of increase
 x: number of days
 Substituting values we have:
 y = 2 * (2) ^ x
 For day 4 we have:
 y = 2 * (2) ^ 4
 y = 32 times
 
 he does ride around the block on day 4 about:
 y = 32 times