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Question 33(Multiple Choice Worth 1 points)
(04.03)

The expression below shows the population of butterflies in a forest after 4x years:

f(x) = 40(1.04)4x

Which of the following is an equivalent function?

f(x) = 40(4.1600)x
f(x) = 480(1.04)x
f(x) = 40(1.1699)x
f(x) = 480(4.1600)x
Question 34(Multiple Choice Worth 1 points)
(02.07)

Solve for x.

−3x + 2b > 8

x < the quantity negative 2 times b plus 8 all over negative 3
x > the quantity negative 2 times b plus 8 all over negative 3
x < the quantity 2 times b minus 8 all over negative 3
x > the quantity negative 2 times b minus 8 all over 3
Question 35(Multiple Choice Worth 1 points)
(1.05, 3.05)

Which of the following is the most appropriate unit to describe the rate at which water flows over Niagara Falls?

Days per billion gallons, because the independent quantity is volume of water in billion gallons and dependent quantity is time in days
Billion gallons per day, because the independent quantity is volume of water in billion gallons and dependent quantity is time in days
Billion gallons per day, because the independent quantity is time in days and dependent quantity is volume of water in billion gallons
Days per billion gallons, because the independent quantity is time in days and dependent quantity is volume of water in billion gallons
Question 36(Multiple Choice Worth 1 points)
(01.07, 02.01)

2x + 6 = 10 is the same as 6 + 2x = 10. This is an example of which algebraic property?

Symmetric Property
Commutative Property of Addition
Distributive Property
Associative Property of Addition
Question 37(Multiple Choice Worth 1 points)
(02.07)

The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:

C = 5 over 9(F − 32)

Which of the following formulas correctly solves for F?

F = 9 over 5C + 32
F = 9 over 5C − 32
F = 9C + 32 over 5
F = 9C − 32 over 5

Respuesta :

Question 33

Answer:

f(x) = 40(1.1699)x

Step-by-step explanation:

Using the properties of exponents the term (1.04)^4x can be re-written as;

[tex](1.04^{4})^{x}[/tex]

The term in the brackets is equivalent to;

1.1699

Thus the function is equivalent to;

[tex]f(x)=40(1.1699)^{x}[/tex]

Question 34

Answer:

x < the quantity negative 2 times b plus 8 all over negative 3; Choice A

Step-by-step explanation:

The first step is to subtract 2b from both sides of the inequality;

-3x > -2b+8

The final step is to divide by -3 to solve for x;

[tex]x<\frac{-2b+8}{-3}[/tex]

Question 35

Answer:

Billion gallons per day, because the independent quantity is time in days and dependent quantity is volume of water in billion gallons; Choice C

Step-by-step explanation:

Time variable in any analysis is considered an independent or predictor variable since time is not influenced by the other variables under study.

In this case, the volume of water is the response or the dependent variable.

Question 36

Answer:

Commutative Property of Addition; Choice B

Step-by-step explanation:

The Commutative Property of Addition simply states that;

[tex]a+b=b+a[/tex]

Question 37

Answer:

F = 9 over 5C + 32; Choice A

Step-by-step explanation:

To solve for F in the expression;

[tex]C=\frac{5}{9}(F-32)[/tex]

We first multiply both sides by 9/5;

[tex]\frac{9}{5}C=F-32[/tex]

The final step is to add 32 to both sides of the equation;

[tex]F=\frac{9}{5}C+32[/tex]

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