This graph shows a proportional relationship between the number of pages Sally reads and the time she takes in minutes. Which statement identifies the correct slope and the correct interpretation of the slope for this situation? Options: The slope of the line is 1/2, so Sally reads 0.5 of a page every minute. The slope of the line is 1/2, so Sally reads 2 pages every minute. The slope of the line is 2/1, so Sally reads 0.5 of a page every minute. The slope of the line is 2/1, so Sally reads 2 pages every minute.

Proportional Relationships Flashcard

Flashcard
•
Mathematics
•
8th Grade
•
Hard
Nichole McGaughey
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8 questions
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1.
FLASHCARD QUESTION
Front
Back
The slope of the line is 1/2, so Sally reads 0.5 of a page every minute.
Answer explanation
The slope of 1/2 indicates that for every minute, Sally reads 0.5 pages. This means she reads half a page each minute, confirming the correct choice.
2.
FLASHCARD QUESTION
Front
Line t has slope 3/4 and passes through (0, 0). Start at (0, 0), move right 8 units. How many units up is line t?
Back
6
Answer explanation
The slope of line t is 3/4. Moving right 8 units means we increase x by 8. The corresponding increase in y is (3/4) * 8 = 6. Thus, from (8, 0), line t is 6 units up.
3.
FLASHCARD QUESTION
Front
Equation of the line in the form y = mx where m is the slope.
Back
y=3x
Answer explanation
The equation of a line in the form y = mx indicates that m is the slope. The correct answer is y = 3x, where the slope m is 3.
4.
FLASHCARD QUESTION
Front
Equation of the line in the form y = mx + b where m is the slope and b is the y-intercept.
Back
y = 3x - 2
Answer explanation
The equation y=3x-2 is in the form y=mx+b, where m (slope) is 3 and b (y-intercept) is -2. This matches the required format, confirming it as the correct answer.
5.
FLASHCARD QUESTION
Front
Equation showing a distance per hour that is 2 times more than the distance Paul covered per hour.
Back
d = 8h
Answer explanation
To find the equation showing a distance per hour that is 2 times more than Paul's distance per hour, we need to double the coefficient of h. If Paul covers 4h, then 2 times that is 8h, making d = 8h the correct choice.
6.
FLASHCARD QUESTION
Front
Equation of the line in the form y = mx + b
Back
y = 3/2x - 2
Answer explanation
The equation y=3/2x-2 is in the form y=mx+b, where m (slope) is 3/2 and b (y-intercept) is -2. This matches the required format, confirming it as the correct answer.
7.
FLASHCARD QUESTION
Front
Equation representing the relationship between cookies sold (c) and profit earned (p).
Back
p=1/2c
Answer explanation
The equation p=1/2c suggests that for every 2 cookies sold, the profit is 1 unit. However, the question asks for an equation that represents the relationship, and since no specific equation is provided, the correct answer is 0.
8.
FLASHCARD QUESTION
Front
Triangle ABC is given with coordinates A(−7, −4), B(−7, 4), and C(1, 4). The ordered pair (6, y) is on line AC. Enter the value of y for this ordered pair.
Back
y=9
Answer explanation
To find the value of y for the point (6, y) on line AC, we first determine the equation of line AC using points A(−7, −4) and C(1, 4). The slope is (4 - (-4)) / (1 - (-7)) = 1. The line equation is y = x + 3. Substituting x = 6 gives y = 6 + 3 = 9.
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