Which equation represents the graph? (1 point) Responses y=54x+3 y is equal to 5 fourths x plus 3 y=12x−1 y is equal to 1 half x minus 1 y=3x+5 y is equal to 3 x plus 5 y=−45x+3
the graph has no numbers its a line pointing left right up down evenly and there is a line with 2 dots one in the center of the upper middle of the line one is almost in the right corner it is one block under the right line a one block left of the right corner of the end of the graph
The equation that represents the graph you described is y=3x+5.
Which equation represents the graph? (1 point) Responses y=5/4x+3 y is equal to 5 fourths x plus 3 y=1/2x−1 y is equal to 1 half x minus 1 y=3x+5 y is equal to 3 x plus 5 y=−4/5x+3
the graph has no numbers its a line pointing left right up down evenly and there is a line with 2 dots one in the center of the upper middle of the line one is almost in the right corner it is one block under the right line a one block left of the right corner of the end of the graph
The equation that represents the graph you described is y=5/4x+3.
Suppose that the water level of a river is 45 feet after 3 days of no rain and 10 feet after 10 days of no rain. The river was 60 feet before the drought began.(4 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. a. What is the rate of change (slope) for this scenario? Response area b. What is the y-intercept for this scenario? Response area c. Write an equation for the scenario in slope-intercept form. Response area d. Write an equation in standard form.
a. What is the rate of change (slope) for this scenario?
To find the rate of change (slope), we can use the formula:
slope = (change in y)/(change in x).
The change in y is 45 - 10 = 35 feet (from 45 feet to 10 feet).
The change in x is 3 - 10 = -7 days (from 3 days to 10 days, but since the water level is decreasing, we consider it as negative change).
Therefore, the rate of change (slope) is:
slope = 35/-7 = -5 feet per day.
b. What is the y-intercept for this scenario?
The y-intercept is the value of y when x is 0.
Given that the river was 60 feet before the drought began, the y-intercept is 60.
c. Write an equation for the scenario in slope-intercept form.
The equation in slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept.
Substituting the values we found:
y = -5x + 60.
d. Write an equation in standard form.
The standard form of an equation is Ax + By = C, where A, B, and C are constants.
To convert the equation to standard form, we can multiply through by -1:
-1(y) = -1(-5x + 60)
-y = 5x - 60.
Then, we can multiply through by -1 again to make the coefficient of x positive:
y = -5x + 60.
Multiplying through by -1:
-y = 5x - 60.
Finally, we can rearrange the equation to match the standard form:
5x + y = 60.
So the equation in standard form is 5x + y = 60.
Based on the description provided, it seems that the graph is a straight line with two dots. One dot is located in the center of the upper middle of the line, and the other dot is one block under the right corner and one block left of the right corner of the end of the graph.
The equation that represents this graph is y = 3x + 5.
To determine which equation represents the given graph, let's analyze the provided description of the graph:
- The graph is a line pointing evenly in all four cardinal directions.
- There is a line with two dots: one dot is in the center of the upper middle of the line, and the other dot is almost in the right corner, one block under the right end of the line and one block to the left of the right corner of the graph.
Based on this description, we can eliminate the equations y=54x+3, y=12x−1, and y=−45x+3 since these equations would not produce a graph with the described characteristics.
Now let's analyze the remaining equations:
1. y is equal to 5 fourths x plus 3: y = (5/4)x + 3
2. y is equal to 1 half x minus 1: y = (1/2)x - 1
3. y is equal to 3x + 5: y = 3x + 5
To determine which of these equations represents the given graph, we need to compare the equations with the description of the two dots on the graph.
The equation y = 3x + 5 matches the description. The line with the two dots represents this equation. One dot is in the center of the upper middle of the line, and the other dot is one block under the right end of the line and one block to the left of the right corner of the graph.
Therefore, the equation that represents the given graph is y=3x+5.