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

A party charges $5 admission for each person.

• Linear
• Exponential
• Neither

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

The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.

• f(x) = 25.05x + 5.57
• f(x) = 5.57x + 25.05
• f(x) = -5.57x + 25.05
• f(x) = 5.57x - 25.05

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

A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. What is the constant of variation?

• k = 123
• k = 20
• k = 6.15
• k = 0.16

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

The graph shows a line of best fit for data collected on the price of a unit in relation to the number of units sold.  What is the equation of the line of best fit?

• y = - (1/2) x + 10
• y = - (1/50) x + 40
• y = - (1/2) x + 40
• y = - (1/50) x + 10

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

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

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

TEKS.MATH.9-12.VII.C

When a scientist dives in salt water to a depth of 9 feet below the surface, the pressure due to the atmosphere and surrounding water is 18.7 pounds per square inch. As the scientist descends, the pressure increases linearly. At a depth of 14 feet, the pressure is 20.9 pounds per square inch. If the pressure increases at a constant rate as the scientist’s depth below the surface increases, which of the following linear models best describes the pressure p in pounds per square inch at a depth of d feet below the surface?

• p = 0.44d + 0.77

• p = 0.44d + 14.74

• p = 2.2d - 1.1

• p = 2.2d - 9.9

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

A projectile is launched into the air from the ground. The table shows the height of the projectile, h(t), at different times. Based on the table, which function can best be used to model this situation?

• h(t)= 99t² + 858

• h(t)= -4.9t² + 295t + 0.6

• h(t)= -4.9t² +295t + 2

• h(t)= 99t² + 1,470.3

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

Write an exponential function to model the situation. You invest $1500. Your investment increases at a rate of 3.5%.

• B(t) = 1500(0.965)^t

• B(t) = 1500(1.035)^t

• B(t) = 1500(.035)^t

• B(t) = 1500(1.965)^t

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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