Slope STAAR Question

Which function is best represented by this graph?

• y = ¼ x + 8

• y = ¼ x – 2

• y = 4x -2

• y = 4x + 8

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 Rudolfo has in his toy box, y, and the number of months that have passed, x?

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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.

Joseph ran a 6-mile race in 48 minutes. Which graph has a slope that best represents Joseph’s average rate of speed during the race?

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The ticket sales for a concert started at 4:00 P.M. The table shows the linear relationship between the number of tickets remaining and the number of hours since 4:00 P.M.

Which function can be used to find y, the number of tickets remaining x hours since 4:00 P.M.?

• y= 3,000x + 12,000

• y= 3,000x + 15,000

• y= −3,000x + 12,000

• y= −3,000x + 15,000

Which representation shows y as a function of x?

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A company sells bottles of vitamin capsules. The graph and table show the linear relationship between the cost per capsule in cents and the number of bottles ordered.

What is the slope of the line that models this situation?

• -5

• 5

• 65

• 70

An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represents this rate?

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