Unit 8 HW 1

Which of these is, or describes, a geometric sequence with a common ratio of 3? Select two answers that are correct.

• 0.0270, 0.083, 0.25, 0.75, 2.25

• -4, -1, 2, 5

Look at the table which is a Geometric Sequence.

Which of the following defines the values in the table?

Dana and Dona made model rockets. Dana has Rocket 1 and Dona has Rocket 2. Both launch their rockets at the same time. If both rockets continue to increase in height at their same rates, which rocket will be the highest at 40 seconds. Rocket ​ (a)   will be higher, because it is a(n) ​ (b)   function. Rocket ​ (c)   is a(n) ​ ​ (d)   function.

• 1
• Exponential
• 2
• Polynomial
• Linear
• Absolute Value
• Piecewise

• As the values of x increase, the value of f(x) eventually exceeds the value of g(x) because f(x) is a quadratic function and g(x) is an exponential function with a base greater than 1.

• As the values of x increase, the value of f(x) eventually exceeds the value of g(x) because f(x) is a exponential function and g(x) is an exponential function with a base greater than 1 and g(x) is quadratic function.

• As the values of x increase, the value of g(x) eventually exceeds the value of f(x) because g(x) is a quadratic function and f(x) is an exponential function with a base greater than 1.

• As the values of x increase, the value of g(x) eventually exceeds the value of f(x) because g(x) is a exponential function and f(x) is an exponential function with a base greater than 1 and f(x) is a quadratic function.

Of the following four types of savings account plans, which option would yield exponential growth of the money in the account?

• Each successive year, 1.5% of the initial savings and $100 is added to the value of the account.

• Each successive year, 1% of the current value is added to the value of the account.

• Each successive year, 2% of the initial savings is added to the value of the account.

• Each successive year, $100 is added to the value of the account.

• g(x)

• f(x)

Jeremy deposited x dollars in his investment account on January 1, 2001. The amount of money in the account doubled each year until Jeremy had 480 dollars in his investment account on January 1st 2005, what is the value of x?

Mathematical Equivalence

ON

Juan purchased an antique that had a value of $200 at the time of purchase. Each year, the value of the antique is estimated to increase 10% over its value the previous year. The estimated value of the antique, in dollars, 2 years after purchase can be represented by the expression 200a, where a is a constant. What is the value of a ?

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Which graph represents the table?

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