Question

Daniella and James are competing in their school's ice hockey league for the most goals by the end of the season. Daniella's goals per game can be modeled by the equation y=3x+10, while James' is modeled by y=2x+12. Who is scoring goals at a faster rate?

a) Daniella
b) James
c) They are scoring at the same rate
d) Cannot be determined from the given information

Answer 1

Daniella is scoring goals at a faster rate than James. Hence the correct answer is option A

Step-by-step explanation:

To determine who is scoring goals at a faster rate between Daniella and James, we need to compare the coefficients of their goal-scoring equations. Daniella's equation is y = 3x + 10, while James' equation is y = 2x + 12.

The coefficient of x in Daniella's equation is 3, which represents the rate at which her goals increase per game. The coefficient of x in James' equation is 2, which represents the rate at which his goals increase per game.

Since 3 > 2, Daniella is scoring goals at a faster rate than James.

Hence the correct answer is option A