Question

A penalty in Meteor - Mania is - 5 seconds. A penalty in Cosmic Calamity is - 7 seconds. Yolanda had penalties totaling -25 seconds in a game of meteor- Mania and -35 seconds in a game of Cosmic Calamity. In which game did Yolanda receive more penalties? Justify the answer.

Answer 1

Yolanda had the same number of penalties in both games.

Explanation:

Both of these penalties can be modeled by a first order equation.

Game of Meteor-Mania:

In a game of Meteor-Mania, each penalty is -5 seconds. So the expression for the total of penalties is:

Tp(n) = -5*n, where n is the number of penalties.

In the game of Meteor-Mania, Yolanda had penalties totaling -25 seconds. So

-25 = -5*n *(-1)

5n = 25

n = 25/5

n = 5

Yolanda had 5 penalties in the game of Meteor-Mania

Game of Cosmic Calamity

In a game of Meteor-Mania, each penalty is -7 seconds. So the expression for the total of penalties is:

Tp(n) = -7*n, where n is the number of penalties.

In the game of Cosmic Calamity, Yolanda had penalties totaling -35 seconds. So

-35 = -7n *(-1)

7n = 35

n = 35/7

n = 5

Yolanda had 5 penalties in the game of Cosmic Calamity

Yolanda had the same number of penalties in both games.