Quiz about Interpret Exponential Expressions

Question 1

What type of function does the equation f(x) = 200(0.79)^x represent?

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Linear

Answer

Quadratic

Question 2

Does the following equation model growth or decay?

y = 500(.30)^x+ 7

Accepted Answer

Decay by 70%

Answer

Growth by 30%

Answer

Growth by 70%

Answer

Decay by 30%

Question 3

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

Accepted Answer

y=15,000(0.92)^x

Answer

y=8(15,000)^x

Answer

y=15,000(1.08)^x

Answer

y=15,000(0.08)^x

Question 4

What is the percent (%) of increaase or decrease in the following equation?

f(x) = 250 (0.95)^x

Accepted Answer

Decrease by 5%

Answer

Decrease by 95%

Answer

Increase by 5%

Answer

Increase by 95%

Question 5

Given y=3^xdetermine the y-intercept

Accepted Answer

1

Answer

3

Answer

0

Answer

y

Question 6

Does the following represent growth or decay?

y = 1/2(1.25)^x+ 2

Accepted Answer

Growth by 25%

Answer

Growth by 75%

Answer

Decay by 25%

Answer

Decay by 75%

Question 7

Any expression raised to the zero power is always equal to

Accepted Answer

1

Answer

0

Answer

itself

Answer

negative

Question 8

According to exponent rules, when we raise an exponential expression to a power we _______ the exponents.

Accepted Answer

multiply

Answer

add

Answer

subtract

Answer

divide

Question 9

John bought a painting for $2000. The painting's value is expected to increase by 1.5% each year. Write an equation that determines the value, V, of the painting t years after purchase.

Accepted Answer

V(t) = 2000(1 + 0.015)^t

Answer

V(t) = 2000(1 - 0.015)^t

Answer

V(t) = 2000(1 + 1.5)^t

Answer

V(t) = 2000(1 - 1.5)^t

Question 10

A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%. Create a function that will determine the value, V(t), of the car t years after purchase.

Accepted Answer

V(t) = 25000(1 - 0.185)^t

Answer

V(t) = 25000(1 + 0.185)^t

Answer

V(t) = 25000(1 - 18.5)^t

Answer

V(t) = 25000(1 + 18.5)^t

Question 11

Use what you know about the structure of expressions to complete the following problem. Explain the following expression based on orders of operation: (ab)^x.

Accepted Answer

In the expression (ab)^x, you must first find the product of a and b and then apply the exponent.

Answer

In the expression (ab)^x, you must first apply the exponent to b and then multiply by a.

Answer

In the expression (ab)^x, you must first apply the exponent to a and then multiply by b.

Question 12

Explain the following expression based on orders of operation: ab^x

Accepted Answer

In the expression ab^x, you must first apply the exponent to b and then multiply by a.

Answer

In the expression ab^x, you must first apply the exponent to a and then multiply by b.

Answer

In the expression ab^x, you must first find the product of a and b and then apply the exponent.

Question 13

Explain the following expression based on orders of operation: a^xb

Accepted Answer

In the expression a^xb, you must first apply the exponent to a and then multiply by b.

Answer

In the expression a^xb, you must first apply the exponent to b and then multiply by a.

Answer

In the expression a^xb, you must first find the product of a and b and then apply the exponent.

Question 14

A bank account balance for an account with an initial deposit of P dollars earns interest at an annual rate of r. The amount of money in the account after n years is described using the following expression: P(1 + r) ⁿ . What effect, if any, does decreasing the value of r have on the amount of money after n years?

Accepted Answer

The amount will be decreased.

Answer

The amount will be increased.

Answer

Changing the value of r has no effect on the value of P.

Answer

This change will not affect the value of the overall expression.

Question 15

For what values of x will the result of 3^x be greater than 1?

Accepted Answer

x can be any number greater than 1

Answer

x can be any number greater than 3

Answer

x can be any number less than 0

Answer

x can be any number greater than 0

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