Question

Write the equation of the line with the given slope, m, and y-intercept, (0, b).

m = 0; b = -2
Question 1 options:

A)

x = y - 2

B)

y = x - 2

C)

x = -2

D)

y = -2
Answer
Solve.

A section of roller coaster track has the dimensions shown in the diagram. Find the grade of the track, which is the slope written as a percent.

8.61 meters 21 meters
Question 2 options:

A)

2%

B)

41%

C)

46%

D)

8.61%
Answer
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. If the average attendance this year is 7980, how many games did the team win last year?
Question 3 options:

A)

66

B)

47

C)

59

D)

77
Answer
Write the equation of the line with the given slope, m, and y-intercept, (0, b).

Undefined slope, through (-1, 1)
Question 4 options:

A)

x = 0

B)

x = -1

C)

y = 0

D)

y = 1
Answer
An overpaid basketball player has a guaranteed base salary of $4,000,000. He has a clause in his contract that pays him an additional $500 for each point he scores. Write a linear equation that computes his total salary (s) in terms of the number of points he scores (p).
Question 5 options:

A)

s = 4,000,500p

B)

s = 500p + 4,000,000

C)

s = -500p + 4,000,000

D)

s = 4,000,000p + 500
Answer
A tool rental store charges a flat fee of $7.00 to rent a drill press, and $4.50 for each day, including the first. Use a linear equation to find the cost of renting the tool for one week.
Question 6 options:

A)

$11.50

B)

$38.50

C)

$34.00

D)

$31.50
Answer
Write the equation of the line with the given slope, m, and y-intercept, (0, b).

m = - (3/2); b = 8
Question 7 options:

A)

y = (3/2)x - 8

B)

y = (3/2)x + 8

C)

y = - (3/2)x - 8

D)

y = - (3/2)x + 8
Answer
Complete the ordered pairs for the given linear equation. Then plot the points and graph the equation by connecting the points.

2x + 5y = 0
(-5, ), (0, ), (5, )

Question 8 options:

A)

(-5, 3), (0, 1), (5, -1)


B)

(-5, -2), (0, 0), (5, 2)


C)

(-5, -3), (0, -1), (5, 1)


D)

(-5, 2), (0, 0), (5, -2)
Answered by GPT 3.5
D) y = -2
Answered by GPT 3.5
To find the grade of the track, we need to find the slope of the track as a percent. Slope is calculated by dividing the change in vertical height by the change in horizontal distance.

In this case, the change in vertical height is 8.61 meters and the change in horizontal distance is 21 meters.

Therefore, the slope is 8.61/21 = 0.41

To convert this slope to a percentage, we multiply it by 100:

0.41 * 100 = 41%

So, the grade of the track is 41%.

The correct answer is B) 41%.
Answered by GPT 3.5
To find the number of games the team won last year, we can substitute the given average attendance, A = 7980, into the equation and solve for w.

A = 30w + 6000

7980 = 30w + 6000

Subtracting 6000 from both sides:

7980 - 6000 = 30w

1980 = 30w

Dividing both sides by 30:

1980/30 = w

66 = w

Therefore, the team won 66 games last year.

The correct answer is A) 66.
Answered by GPT 3.5
Since the given slope is undefined, it means that the line is a vertical line.

A vertical line passing through the point (-1, 1) would have an equation of the form x = k, where k is the x-coordinate of the point.

Therefore, the correct equation for the line with an undefined slope and passing through (-1, 1) is:

x = -1

So, the answer is B) x = -1.
Answered by GPT 3.5
Since the basketball player is guaranteed a base salary of $4,000,000 and receives an additional $500 for each point he scores, the linear equation that computes his total salary (s) in terms of the number of points he scores (p) is:

s = 500p + 4,000,000

Therefore, the correct answer is B) s = 500p + 4,000,000.
Answered by GPT 3.5
To find the cost of renting the tool for one week, we need to consider the flat fee of $7.00 plus the daily charge of $4.50 for each day, including the first.

Since there are 7 days in a week, we can use the linear equation:

Cost = Flat fee + (Daily charge * Number of days)

Cost = $7.00 + ($4.50 * 7)

Cost = $7.00 + $31.50

Cost = $38.50

Therefore, the correct answer is B) $38.50.
Answered by GPT 3.5
To write the equation of a line given the slope m and y-intercept (0, b), we can use the slope-intercept form of a linear equation, which is y = mx + b.

In this case, the given slope m is -3/2 and the y-intercept (0, b) is (0, 8).

Substituting these values into the slope-intercept form, we get:

y = (-3/2)x + 8

Therefore, the correct equation of the line with slope m = -3/2 and y-intercept (0, b) = (0, 8) is:

D) y = - (3/2)x + 8.
Answered by GPT 3.5
To complete the ordered pairs for the given linear equation 2x + 5y = 0, we need to substitute the x-values into the equation to solve for the corresponding y-values.

For the first ordered pair (-5, ):
2x + 5y = 0
2(-5) + 5y = 0
-10 + 5y = 0
5y = 10
y = 2
So the first ordered pair is (-5, 2).

For the second ordered pair (0, ):
2x + 5y = 0
2(0) + 5y = 0
0 + 5y = 0
5y = 0
y = 0
So the second ordered pair is (0, 0).

For the third ordered pair (5, ):
2x + 5y = 0
2(5) + 5y = 0
10 + 5y = 0
5y = -10
y = -2
So the third ordered pair is (5, -2).

Therefore, the completed ordered pairs for the given linear equation are:
(-5, 2), (0, 0), (5, -2).

Plotting these points on a graph and connecting them will give us the graph of the equation.

The correct answer is D) (-5, 2), (0, 0), (5, -2).