Question

Use the image to answer the question.An illustration shows Quadrant 1 of a coordinate plane. The x-axis is labeled Ounces and ranges from 0 to 15 in 3 unit increments. The y-axis ranges from 0 to 153 in 9 unit increments. The graph is titled Calories per Ounce. A line connects five points plotted on the graph. The coordinates of the plotted points are left parenthesis 0 comma 0 right parenthesis, left parenthesis 3 comma 36 right parenthesis, left parenthesis 6 comma 72 right parenthesis, left parenthesis 9 comma 108 right parenthesis, and left parenthesis 12 comma 144 right parenthesis.The proportional relationship between calories and ounces of soda is shown in the graph. How many calories are in 1 ounce?

Answer 1

[AI-generated answer — Bot GPT 3.5]

According to the graph, for every 3 ounces of soda, there are 36 calories. This means that for 1 ounce of soda, there are 12 calories (36 calories divided by 3 ounces).

Answer 2

Use the image to answer the question.An illustration shows two graphs depicting earnings per hour for employees 1 and 2. The first graph shows earnings per hour for employee 1. The horizontal axis shows hours ranging from 0 to 8 in increments of 2. The vertical axis shows earnings in dollars ranging from 0 to 80 in increments of 5. Four data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 2 comma 25 right parenthesis, left parenthesis 4 comma 50 right parenthesis, and left parenthesis 6 comma 75 right parenthesis. A line connects all the data points. The second graph shows earnings per hour for employee 2. The horizontal axis shows hours ranging from 0 to 6 in increments of 1. The vertical axis shows earnings in dollars ranging from 0 to 80 in increments of 5. Four data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 15 right parenthesis, left parenthesis 3 comma 45 right parenthesis, and left parenthesis 5 comma 75 right parenthesis. A line connects all the data points.The earnings for Employee 1 and Employee 2 are displayed in the following graphs. Which employee earns more per hour?

Answer 3

[AI-generated answer — Bot GPT 3.5]

To determine which employee earns more per hour, we can compare the slopes of the two lines on the graphs. The slope represents the earnings per hour for each employee.

For Employee 1, the slope of the line connecting the data points is 25 dollars earned for 2 hours worked, which means 12.5 dollars per hour.

For Employee 2, the slope of the line connecting the data points is 15 dollars earned for 1 hour worked, which means 15 dollars per hour.

Therefore, Employee 2 earns more per hour compared to Employee 1.

Answer 4

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 four 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 3 right parenthesis, left parenthesis 2 comma 6 right parenthesis, and left parenthesis 3 comma 9 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 1 comma 0 right parenthesis, and left parenthesis 1 comma 3 right parenthesis. The base is labeled as 1, and the perpendicular height on the right is labeled as 3. The second triangle is marked with a dashed line and has vertices with coordinates left parenthesis 1 comma 3 right parenthesis, left parenthesis 3 comma 3 right parenthesis, and left parenthesis 3 comma 9 right parenthesis. The base is labeled as 2, and the perpendicular height on the right is labeled as 6.Use similar triangles to determine the slope of the line.(1 point)

Answer 5

[AI-generated answer — Bot GPT 3.5]

To determine the slope of the line, we will use similar triangles.

For the first triangle with base 1 and height 3, the slope is 3/1 = 3.

For the second triangle with base 2 and height 6, the slope is 6/2 = 3.

Since the two triangles share the same angle, they are similar. Therefore, the slope of the line is 3.

Answer 6

Use the table to answer the question.($) Cost of Candy Bar A Quantity($) Cost 11.25

22.50
33.75
45.00
56.25 The cost of Candy Bar A is displayed in the table. The proportional relationship between the cost and quantity for Candy Bar B is represented by the equation y=x . Which candy bar is the cheapest cost per bar? Enter 1 for Candy Bar A. Enter 2 for Candy Bar B.(1 point)

Answer 7

[AI-generated answer — Bot GPT 3.5]

From the table given, the cost of Candy Bar A ranges from $1.25 to $6.25.

For Candy Bar A:
Cost per bar for 1 quantity = $1.25
Cost per bar for 2 quantity = $2.50
Cost per bar for 3 quantity = $3.75
Cost per bar for 4 quantity = $5.00
Cost per bar for 5 quantity = $6.25

Since the cost of Candy Bar B is represented by the equation y = x, the cost is directly proportional to the quantity. This means that for Candy Bar B, the cost per bar is equal to the quantity.

Comparing the cost per bar for both candy bars, we can see that Candy Bar B has a lower cost per bar for all quantities. Therefore, Candy Bar B is the cheapest cost per bar. Enter 2 for Candy Bar B.