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

Answer:

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

Step-by-step 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

Answer:

plan 1

Step-by-step explanation:

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

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