Question

Brandon enters a contest at the gym. He earns 1 point for his first workout. If he works out the next day, he earns double the points of the previous day. Brandon creates the graph to show the number of points that can be earned on the nth consecutive day of working out.

A graph shows day of workout labeled 1 to 10 on the horizontal axis and daily points earned on the vertical axis. A line increases from 1 to 7.

How many points will Brandon earn on day 8 if he works out each of the previous 7 days?

8
32
64
128

Answer 1

Each day doubles, so points on day n = 1·2^(n−1). For day 8: 2^(8−1) = 2^7 = 128.