Answer:
128 points
Explanation:
Based on the information given, the number of points Brandon earns on the nth consecutive day of working out can be represented by the formula: 2^(n-1).
Using this formula, we can calculate the number of points Brandon will earn on Day 8 if he works out each of the previous 7 days as follows:
On Day 1, Brandon earns 1 point.
On Day 2, Brandon earns 2^(2-1) = 2 points.
On Day 3, Brandon earns 2^(3-1) = 4 points.
On Day 4, Brandon earns 2^(4-1) = 8 points.
On Day 5, Brandon earns 2^(5-1) = 16 points.
On Day 6, Brandon earns 2^(6-1) = 32 points.
On Day 7, Brandon earns 2^(7-1) = 64 points.
On Day 8, Brandon would earn 2^(8-1) = 128 points if he works out each of the previous 7 days.
Therefore, if Brandon works out each of the previous 7 days, he will earn 128 points on Day 8.