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

Answer 1

He should have esrned Im138 points

Answer 2

Answer: 128 points

Explanation:

Here, He earns 1 point for his first workout. If he works out the next day, he earns double the points of the previous day.

Therefore If x represents number of days, and y represents number of points then,

The function which shows this situation is,

`y =2^(x-1)`

Thus, when we talk about his point on day 8,

Then, x=8 ,
`y =2^(8-1)`=
`2^7` = 128 points.

Therefore, He will earn 128 points On Day 8.