Question

Your soccer team wants to practice a drill for a certain amount of time each day. Which plan will give your team more total practice time over 4 days? Over 8 days? Explain your reasoning.

Answer 1

The answer would be plan two since it would double each day, making it a lot larger than Plan 1.

Explanation:

So first, to understand this, 0 is today, and then I did this based on 4 days and 8 days after what is represented as "today."

Plan 1:

`y=5+1x`

Day 4:

`y=5+1(4)\\y=5+4\\y=9`

Day 8:

`y=5+1(8)\\y=5+8\\y=13`

Plan 2:

`y=2^(x)`

Day 4:

`y=2^(4) \\y=2*2*2*2\\y=4*2*2\\y=8*2\\y=16`

Day 8:

`y=2^(8) \\y=2*2*2*2*2*2*2*2\\y=4*2*2*2*2*2*2\\y=8*2*2*2*2*2\\y=16*2*2*2*2\\y=32*2*2*2\\y=64*2*2\\y=128*2\\y=256`

Answer 2

plan 1

Explanation:

plan 1: 5 + 6 + 7 + 8 = 26min 8 days: 68

plan 2: 1 + 2 + 3 + 4 = 10min 8 days: 36