10. While catching fireflies, you and a friend decide to have a competition. After m minutes, you have (4m +11) fireflies and your friend has (5m +6) fireflies A. Write an expression in simplest form that represents the number of fireflies you and your friend caught together.

B. The competition ends after 5 minutes(m). Who has more fireflies. Explain how you know.

Lets look at the expressions with respect to the competition parameters:

Expressions:

You(Y) =4m+11

Friend(F)=5m+6

1. The competition begins AFTER you and friend already caught some flies. This would be represented by the CONSTANT terms in each expression (in this case, 13 for you, 6 for friend).

So the number of flies caught BEFORE THE COMPETITION would be...

11+6=17 flies total

2. The competition length was "m" minutes long when flies are caught and counted. This would be represented by the VARIABLE terms in each expression (in this case, 4m for you, 5m for friend). We are not given a numeric value for the variable "m" to evaluate.

So the number of flies caught DURING THE COMPETITION (timed "m" minutes long) would be

4m+5m=9m flies total

...and the number of flies per minute would be calculated as

9m÷m=9 flies per mintotal #flies divided by total minutes

3. If the problem asked for the total number of flies caught by you and friend, before and after the competition

9m+17 flies totaladd like terms in each expression.

a. 9m+17

b. You caught more fireflies

Step-by-step explanation:

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation:

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