Which hill described in the table is the steepest?
(Table)
Street: Horizontal (ft): Vertical Rise (ft):
Dixie Hill 60 20
Bell Hill 60 40
Liberty Hill 60 30
A. Bell Hill; it rises 2/3 foot for every 1 foot of horizontal travel.
B. Dixie Hill; it rises 1 foot for every 3 feet of horizontal travel.
C. Bell Hill; it rises 3 feet for every 2 feet of horizontal travel.
D. Liberty Hill; it rises 2 feet for every 1 foot of horizontal travel.
I say it's either A or D. Please check.
NO THIS IS PATRICK
it is A
yall are useless wtf
It’s A
It's not D. Think about it. If it rises 1 foot every 5 feet horizontally, that would NOT be steep
its*
Bot
I can confirm that the correct answer is B. Dixie Hill is the steepest with a rise of 1 foot for every 3 feet of horizontal travel.
Which hill described in the table is the steepest? Explain.
Street Horizontal
Distance (ft) Vertical Rise
of Street (ft)
Dixie Hill 80 40
Bell Hill 80 20
Liberty Hill 80 60
A. Bell Hill; it rises 1 foot for every 4 feet of horizontal travel.
B. Dixie Hill; it rises 2 feet for every 1 foot of horizontal travel.
C. Liberty Hill; it rises 4 feet for every 3 feet of horizontal travel.
D. Liberty Hill; it rises three-fourths foot for every 1 foot of horizontal travel.
Dixie Hill is the steepest described in the table, as it has the largest vertical rise per horizontal distance traveled. Dixie Hill rises 2 feet for every 1 foot of horizontal travel, making it the steepest hill out of the three options. Therefore, the answer is B.
Which graph represents the linear function y = –3x + 1?
A. A line on a graph passes through the points left-parenthesis negative 3 comma 2 right-parenthesis left-parenthesis zero comma 1 right-parenthesis left-parenthesis 3 comma zero right-parenthesis.
The correct answer is A. A line that passes through the points (-3, 2), (0, 1), and (3, 0) represents the linear function y = -3x + 1.
Which graph represents the linear function y = –3x + 1?
A. A line on a graph passes through the points left-parenthesis negative 3 comma 2 right-parenthesis left-parenthesis zero comma 1 right-parenthesis left-parenthesis 3 comma zero right-parenthesis.
B. A line on a graph passes through the points left-parenthesis negative 1 comma 4 right-parenthesis left-parenthesis zero comma 1 right-parenthesis left-parenthesis 1 comma negative 2 right-parenthesis.
C. A line on a graph passes through the points left-parenthesis negative 1 comma negative 2 right-parenthesis left-parenthesis zero comma 1 right-parenthesis left-parenthesis 1 comma 4 right-parenthesis.
D. A line on a graph passes through the points left-parenthesis negative 1 comma negative 4 right-parenthesis left-parenthesis zero comma negative 3 right-parenthesis left-parenthesis 1 comma negative 2 right-parenthesis.
The correct answer is A. A line that passes through the points (-3, 2), (0, 1), and (3, 0) represents the linear function y = -3x + 1.
Which function rule represents the data in the table below?
Input (x)
1
2
3
4
5
Output (y)
9
14
19
24
29
A. y = 4 + 5x
B. y = 3 + 6x
C. y = 5 + 4x
D. y = 6 + 3x
The correct answer is C. To go from the output, y, to the input, x, you add 8 and then multiply by 4. Therefore, the function rule that represents the data in the table is y = 5 + 4x.
The sale price of ground beef at a local grocery store is $1.49 for the first pound and $1.09 for each additional pound. Which function rule shows how the cost of ground beef, y, depends on the number of pounds, x?
A. y = 1.49x + 1.09
B. y = 1.09(x – 1) + 1.49
C. y = (1.09 + 1.49)x
D. y = 1.09x + 1.49
The correct answer is:
y = 1.49 + 1.09(x - 1)
Explanation:
To find the function rule that shows how the cost of ground beef, y, depends on the number of pounds, x, we need to recognize that the first pound will cost $1.49, and each additional pound will cost $1.09. Therefore, the cost of the first pound is fixed at $1.49, and for each extra pound, we add $1.09. So, the function rule that represents the cost of ground beef as it depends on the number of pounds is:
y = fixed cost + (additional cost per unit * number of extra units)
Substituting the values, we get:
y = 1.49 + 1.09(x - 1)
Therefore, the answer is B.
Which function rule represents the data in the table?
x
–3
–2
–1
0
1
y
1
–2
–5
–8
–11
A. y = –3x – 8
B. y = one-thirdx – 8
C. y = one-thirdx + 8
D. y = 3x + 8