Question

Determine whether the lines are parallel, perpendicular, or neither.

9x + 3y = 12
15x + 5y = 21
Question 9 options:

A)

neither

B)

parallel

C)

perpendicular

Answer 1

To determine whether the lines are parallel, perpendicular, or neither, we can compare their slopes. We can rewrite the equations in slope-intercept form (y = mx + b) to find the slopes.

9x + 3y = 12
3y = -9x + 12
y = (-9/3)x + 12/3
y = -3x + 4

15x + 5y = 21
5y = -15x + 21
y = (-15/5)x + 21/5
y = -3x + 21/5

The slopes of both lines are -3, meaning they have the same slope. Therefore, the lines are parallel.

The answer is B) parallel.

Answer 2

The average attendance, A, at a minor league baseball park can be modeled by the equation
A = 30w + 6,000
where w is the number of games the team won the previous year. What will the average attendance be next year if the team wins 93 games this year?
Question 10 options:

A)

5907

B)

3210

C)

8790

D)

9720

Answer 3

To find the average attendance next year, we need to substitute the number of games won this year (w = 93) into the equation A = 30w + 6000:

A = 30(93) + 6000
A = 2790 + 6000
A = 8790

Therefore, the average attendance next year if the team wins 93 games this year will be 8790.

The answer is C) 8790.