TEKS.MATH.9-12.VII.C.2

 Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

• y=1344x
• y=100x
• y=5.25x
• y=4/21x

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TEKS.MATH.9-12.VII.C.2

The Height of a wave in California varies directly with the seconds that pass by.  At 4 seconds, the wave is 6 feet high.  How many seconds will give you a wave that is 10 feet high? 

• y = 2/3x
• 6
• 6.6
• 7

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TEKS.MATH.9-12.VII.C.2

Shelia collected data on ticket sales for the homecoming dance.  If she plots the data on the scatterplot shown above, which equation best models the table?

• y = 4.22x + 20.98
• y = 4.22x - 20.98
• y = -4.22x + 20.98
• y = -4.22x - 20.98

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TEKS.MATH.9-12.VII.C.2

The graph shows a line of best fit for data collected on the value of used cards in relation to the number of  years since they were purchased.  What is the equation of the line of best fit?

• y = 750 x + 9500
• y = - 750 x +11000
• y = (3/4) x + 11
• y = - (3/4) x + 11000

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TEKS.MATH.9-12.VII.C.2

The gallons of water used to take a shower varies directly with the number of minutes in the shower. If an 8 minute shower uses 48 gallons of water, find the constant of variation.

• 1/6
• 6
• 8
• 48

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TEKS.MATH.9-12.VII.C.2

A holiday meal costs $12.50 a person plus a delivery fee of $30.

• y = 30 + 12.5x 
• y = 12.5 + 30
• y = 12.5 + 30x
• y = 30 - 12.5x

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TEKS.MATH.9-12.VII.C.2

The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.

• 10 miles
• 617.5 miles
• 0.19 miles
• 500 miles

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TEKS.MATH.9-12.VII.C.2

More and more people are purchasing food from farmers' markets. As a consequence, a market researcher predicts that the number of farmers' markets will increase by 15% each year. If there are 6,200 farmers' markets this year, how many will there be in 10 years? (Round to the nearest whole number if necessary).

• 25,082

• 12,937

• 62,000

• 43,511

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TEKS.MATH.9-12.VII.C

TEKS.MATH.9-12.VII.C.2

Write an exponential function to model the situation. Then solve.

The value of a car is $18000 and is depreciating at a rate of 12% per year. What will the value of the car be after 10 years?

• V(t) = 18000(.88)^t ; $12986.98

• V(t) = 18000(.12)^t ; $12986.98

• V(t) = 18000(.88)^t ; $5013.02

• V(t) = 18000(.12)^t ; $5013.02

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TEKS.MATH.9-12.VII.C.2

In a geometric sequence, a₄ = −9 and a₆ = −81. What is the recursive formula for this sequence?

• 
• 
• 
• 

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TEKS.MATH.9-12.VII.C.2