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.
10.8 meters 30 meters
Question 1 options:
A)
3%
B)
36%
C)
10.8%
D)
41%
The grade of a track is the vertical change in elevation divided by the horizontal change in distance, expressed as a percentage.
In this case, the vertical change in elevation is 10.8 meters and the horizontal change in distance is 30 meters.
To find the grade, we divide the vertical change by the horizontal change and multiply by 100:
Grade = (Vertical Change / Horizontal Change) * 100
Grade = (10.8 / 30) * 100
Grade = 0.36 * 100
Grade = 36
Therefore, the grade of the track is 36%.
The correct answer is B) 36%.
To find the grade of the track, which is the slope written as a percent, we need to find the rise and run of the track.
The rise is the vertical change in height, which is given as 10.8 meters.
The run is the horizontal distance traveled, which is given as 30 meters.
Now, we can calculate the slope by dividing the rise by the run and multiplying by 100 to express it as a percentage:
Slope = (rise / run) * 100
Slope = (10.8 / 30) * 100
Slope ≈ 0.36 * 100
Slope ≈ 36%
Therefore, the grade of the track is 36%. So the correct option is B) 36%.
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 89 games this year?
Question 2 options:
A)
9560
B)
5911
C)
8670
D)
3330
To find the average attendance next year, we can substitute the value of w, which is 89 games, into the equation A = 30w + 6,000.
A = 30(89) + 6,000
A = 2,670 + 6,000
A = 8,670
Therefore, the average attendance next year, when the team wins 89 games this year, will be 8,670.
The correct answer is C) 8670.
To find the grade of the track, we need to calculate the slope as a percent. The grade of a track is defined as the change in vertical height divided by the horizontal distance traveled.
In this case, we are given the dimensions of the track: 10.8 meters in vertical height and 30 meters in horizontal distance.
To find the grade, we divide the change in vertical height (10.8 meters) by the horizontal distance (30 meters):
Grade = (vertical height / horizontal distance) * 100%
Grade = (10.8 / 30) * 100%
Grade = 0.36 * 100%
Grade = 36%
So, the grade of the track is 36%.
Therefore, the correct answer is option B) 36%.
Write the equation of the line with the given slope, m, and y-intercept, (0, b).
m = - ; b = 4
Question 3 options:
A) y = - x + 4
B) y = - x - 4
C) y = x + 4
D) y = x - 4
The equation of a line with a slope, m, and a y-intercept, (0, b), is given by the formula: y = mx + b.
In this case, the slope is -3 and the y-intercept is 4.
Plugging these values into the formula, we get:
y = -3x + 4
Therefore, the correct answer is A) y = -3x + 4.
A tool rental store charges a flat fee of $6.00 to rent a drill press, and $3.00 for each day, including the first. Use a linear equation to find the cost of renting the tool for one week.
Question 4 options:
A)
$27.00
B)
$21.00
C)
$24.00
D)
$9.00
The cost of renting the tool for one day is $6.00 (flat fee) + $3.00 (per day charge) = $9.00.
To find the cost of renting the tool for one week, we multiply the daily cost by the number of days in a week:
Cost = $9.00 * 7 = $63.00
Therefore, the cost of renting the tool for one week is $63.00.
The correct answer is not provided among the options.
Write the equation of the line with the given slope, m, and y-intercept, (0, b).
Undefined slope, through (6, -6)
Question 5 options:
A)
y = 0
B)
y = -6
C)
x = 0
D)
x = 6