Writing equations from tables, graphs, verbal , ordered pairs

A balloon is released from the top of a 75-foot building. The balloon rises at a rate of 2 feet per second. Which equation describes h, the height of the balloon in feet from the ground after s seconds?

• h = 75s

• h = 2s

• h = 2s + 75

• h = 75s + 2

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8.5.I

An art studio charges $65 per month for art lessons. There is also an additional supply fee of $25 at the time of registration. Which equation best describes the total cost, c, given the number of months, m?

• c = 65m - 25

• c = 90m

• c = 25m + 65

• c = 65m +25

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Which function is best represented by the line Natasha graphs?

• y = -1/2x + 3

• y = 5/3x + 5

• y = -3/5x + 3

• y = -2/3x + 5

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Which of the following equations best shows the relationship between t, the total cost, and c, the number of chairs purchased?

• t = 129c - 75

• t = 104c - 75

• t = 129c + 75

• t = 116.5c + 75

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Look at the set of ordered pairs.

(-8,3), (-6,2), (-4,1), (-2,0)

Create an equation for the function represented by the ordered pairs.

y = ​ ​ (a)   x​ (b)   ​ (c)  

• -0.5
• -
• 1
• -2
• +
• -1/4
• 2
• -1
• 0.5
• 1/4

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Which equation best represents the relationship?

• y = 26.50x

• y= 26.50x + 5

• y = 31.50x

• y = 5x + 26.50

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Which best represents the equation that shows the temperature, t after h hours?

• t = -45h

• t = -5h + 45

• t = -3h + 45

• t = -2/3h + 45

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Which equation best represents the data?

• y = x + 4

• y = 4x + 1

• y = 5x - 4

• y = 3x + 4

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Mrs. Fuller plants a 4 inch tomato plant in her garden. The tomato plant grows at a rate of 2 inches each week. Create an equation that can be used to determine h, the height of the tomato plant in inches after w weeks. Write your answer in the boxes provided.

y = __x + __

(a)  

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A function is represented by the following set of ordered pairs:

(-3,-13), (0,-7), (3,-1), (6,5)

Which equation represents the function?

• y = 3x -7

• y = 6x -7

• y = 2x -7

• y = 1/2 - 7

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