Changes in Slope and Y-Intercept

A gym charges a membership fee plus an additional fee per yoga class. The table shows the linear relationship between the number of yoga classes taken and the total cost including the membership fee. Which statement is true?

• The additional fee per yoga class is $3.75

• The additional fee per yoga class is $8.25

• The membership fee is $35.00

• The membership fee is $42.50

The table shows the number of gallons of gasoline in a car's gas tank after the car has been driven x miles. When these data are graphed on a coordinate grid, the points all lie on the same line. What are the slope and y-intercept of this line?

• Slope = 1/25, y-intercept = 375

• Slope = -1/25, y-intercept = 15

• Slope = 25, y-intercept = 375

• Slope = -25, y-intercept = 15

Emily sells greeting cards. The graph models the linear relationship between the number of boxes of cards she sells and her profit. Which of these best describes the profit Emily makes from selling these cards?

• $7.50 per box

• $10.00 per box

• $4.00 per 30 boxes

• $3.00 per 4 boxes

What are the slope and y-intercept of the graph of the linear function shown on the grid?

• Slope = 4, y-intercept = -6

• Slope = -4, y-intercept = -1.5

• Slope = -1/4, y-intercept = -1.5

• Slope = 1/4, y-intercept = -6

What are the slope and y-intercept of the graph of the linear function shown on the grid?

• Slope = 3, y-intercept = -6

• Slope = -3, y-intercept = -2

• Slope = -3, y-intercept = -6

• Slope = 3, y-intercept = -2

Carolyn will buy the same number of stamps every month to add to a stamp collection her grandfather gave her. The table shows the number of stamps Carolyn will have at the end of x months. How many stamps was Carolyn given, and how many stamps will she buy every month?

• Carolyn was given 200 stamps, and she will buy 50 stamps every month.

• Carolyn was given 180 stamps, and she will buy 70 stamps every month.

• Carolyn was given 180 stamps, and she will buy 50 stamps every month.

• Carolyn was given 200 stamps, and she will buy 70 stamps every month.

What are the slope and y-intercept of the graph of the linear function shown on the grid?

• Slope = 5/2, y-intercept = -5

• Slope = -5/2, y-intercept = -5

• Slope = 5/2, y-intercept = -2

• Slope = 5/2, y-intercept = -5

A hot-air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate. Which table shows the relationship between the time in seconds, x, and the height of the balloon in feet, y?

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Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month. Based on this information, which representation best shows this relationship between the number of toys Rodolfo has in his toy box, y, and the number of months that have passes, x?

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An aquarium is being filled with water. The graph shows the height of the water over time as the aquarium is being filled. Which statement best describes the rate of change for this situation?

• The height of the water increases 20 inches per second.

• The height of the water increases 1 inch per second.

• The height of the water increases 5 inches per second.

• The height of the water increases 2.5 inches per second.