Use the image to answer the question.
An illustration shows Quadrant 1 of a coordinate plane. The x-axis is labeled Inches and ranges from 0 to 5 in one unit increments. The y-axis is labeled centimeters and ranges from 0 to 12 in 1 unit increments. The graph is titled Centimeters per Inch. A line connects five points plotted on the graph. The coordinates of the labeled and plotted points are left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 2.54 right parenthesis, left parenthesis 2 comma 5.08 right parenthesis, left parenthesis 3 comma 7.62 right parenthesis, and left parenthesis 4 comma 10.16 right parenthesis.
Use the graph to determine the number of centimeters in 1 inch.
(1 point)
There are ? centimeters in 1 inch.
There are 2.54 centimeters in 1 inch.
Use the image to answer the question.
An illustration shows Quadrant 1 of a coordinate plane. The x-axis is labeled Games and ranges from 0 to 7 in 1 unit increments. The y-axis is labeled points and ranges from 0 to 250 in increments of 50. The graph is titled Points per Game. A line connects four points plotted on the graph. The coordinates of the plotted points are left parenthesis 0 comma 0 right parenthesis, left parenthesis 3 comma 90 right parenthesis, left parenthesis 5 comma 150 right parenthesis, and left parenthesis 7 comma 210 right parenthesis.
The graph displays the number of points scored and the number of basketball games played. Determine the average points per game.
(1 point)
An average of ? points were scored per game.
An average of 50 points were scored per game.
no.
I apologize for the incorrect response. To determine the average points per game, we need to calculate the slope of the line connecting the plotted points.
Using the coordinates (0,0) and (7,210), we can calculate the slope using the formula: slope = (change in y)/(change in x).
The change in y is 210 - 0 = 210, and the change in x is 7 - 0 = 7.
Therefore, the slope of the line is 210/7 = 30.
This means that for every game played, there is an average of 30 points scored.
Use the image to answer the question.
An illustration shows two graphs depicting cost per day in dollars for options A and B. The first graph shows cost per day in dollars for option A. The horizontal axis shows days ranging from 0 to 28 in increments of 7. The vertical axis shows the cost in dollars ranging from 0 to 70 in increments of 7. Four data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 7 comma 21 right parenthesis, left parenthesis 14 comma 42 right parenthesis, and left parenthesis 21 comma 63 right parenthesis. A line connects all the data points. The second graph shows cost per day in dollars for option B. The horizontal axis shows days ranging from 0 to 20 in increments of 5. The vertical axis shows the cost in dollars ranging from 0 to 60 in increments of 20. Four data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 5 comma 20 right parenthesis, left parenthesis 10 comma 40 right parenthesis, and left parenthesis 15 comma 60 right parenthesis. A line connects all the data points.
Two options for passes to ride public transportation are displayed in the graphs. Is Option A or Option B the better buy? Choose 1 for Option A and 2 for Option B.
? is the better buy.
To determine which option is the better buy, we need to compare the cost per day for both Option A and Option B.
From the graph for Option A, we can see that the cost per day increases linearly from 0 to 63 dollars over a period of 21 days.
From the graph for Option B, we can see that the cost per day also increases linearly from 0 to 60 dollars over a period of 15 days.
To compare the two options, we can calculate the average cost per day for each option by dividing the total cost by the number of days.
For Option A, the average cost per day is 63 dollars/21 days = 3 dollars/day.
For Option B, the average cost per day is 60 dollars/15 days = 4 dollars/day.
Therefore, Option A is the better buy as it has a lower average cost per day compared to Option B.
Use the image to answer the question.
An illustration shows a coordinate plane with the x-axis ranging from negative 9 to 9 in one unit increments, and the y-axis ranging from negative 11 to 11 in one unit increments. A solid line passes through five plotted points and extends beyond. A solid line with arrows at both ends passes through points with coordinates left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 2 right parenthesis, left parenthesis 2 comma 4 right parenthesis, left parenthesis 3 comma 6 right parenthesis, and left parenthesis 4 comma 8 right parenthesis. The solid line forms the hypotenuse for two triangles. The first triangle is marked with a dotted line and has vertices with coordinates left parenthesis 0 comma 0 right parenthesis, left parenthesis 3 comma 0 right parenthesis, and left parenthesis 3 comma 6 right parenthesis. The base is labeled as 3, and the perpendicular height on the right is labeled as 6. The second triangle is marked with a dashed line and has vertices with coordinates left parenthesis 3 comma 6 right parenthesis, left parenthesis 4 comma 6 right parenthesis, and left parenthesis 4 comma 8 right parenthesis. The base is labeled as 1, and the perpendicular height on the right is labeled as 2.
Use similar triangles to determine the slope of the line.
(1 point)
The slope is ?
To determine the slope of the line, we can use the coordinates of two points on the line. Let's take the points (0,0) and (1,2) which lie on the line.
The slope of a line can be found using the formula: slope = (change in y)/(change in x).
The change in y from (0,0) to (1,2) is 2 - 0 = 2, and the change in x is 1 - 0 = 1.
Therefore, the slope of the line is 2/1 = 2.
Use the image to answer the question.
An illustration shows a coordinate plane with the x-axis ranging from negative 9 to 9 in one unit increments, and the y-axis ranging from negative 11 to 11 in one unit increments. A solid line passes through five plotted points and extends beyond. A solid line with arrows at both ends passes through points with coordinates left parenthesis 0 comma 0 right parenthesis, left parenthesis 2 comma 1 right parenthesis, left parenthesis 4 comma 2 right parenthesis, left parenthesis 6 comma 3 right parenthesis, and left parenthesis 8 comma 4 right parenthesis. The solid line forms the hypotenuse for two triangles. The first triangle is marked with a dotted line and has vertices with coordinates left parenthesis 0 comma 0 right parenthesis, left parenthesis 4 comma 0 right parenthesis, and left parenthesis 4 comma 2 right parenthesis. The base is labeled as 4, and the perpendicular height on the right is labeled as 2. The second triangle is marked with a dashed line and has vertices with coordinates left parenthesis 4 comma 2 right parenthesis, left parenthesis 8 comma 2 right parenthesis, and left parenthesis 8 comma 4 right parenthesis. The base is labeled as 4, and the perpendicular height on the right is labeled as 2.
Use similar triangles to determine the slope of the line. Write your answer in fraction form.
(1 point)
The slope is ?