While catching fireflies, you and a friend decide to have a competition. After m minutes, you have (3m+13) fireflies and your friend has (4m+6) fireflies.

Question

Question 2

a. How many total fireflies do you and your friend catch?

  fireflies 

Explain your reasoning.

Question 3

b. The competition lasts 3 minutes. Who has more fireflies?

1. you
2. your friend

Question 4

Justify your answer.

Answer 1

for m=7 you both have the same

for m greater than 7 minutes your friend caught more

for m less than 7 minutes you caught more

3m +13 = 4m +6

m =7 is where you both catch the same 34 fire flies

m-0 you caught 7 more than your friend

m = 8 your friend caught 38 and you caught only 37, 1 less