Deck 7: Consumer Mathematics

Question 1

Answer 1

918,330

Question 2

Answer 2

Question 3

State whether or not the relation is a function. {(2, 5), (2, 6), (2, 7), (2, 8)}

Answer 3

Not a function

Question 4

Question 5

Question 6

A stationary store sells rolls of standard gift wrap and deluxe gift wrap. They can stock a total of 180 rolls of gift wrap, of which at least 50 must be standard wrap and at least 20 must be deluxe wrap. The profit on a roll of standard wrap is $3 and the profit on a roll of deluxe wrap is $6. How many rolls of each type of gift wrap should the store stock to maximize their profit?

Question 7

Question 8

Plot (0, 2) on the Cartesian plane.

Question 9

(a) the maximum height the object will attain, and (b) the number of seconds before the object will hit the ground. Round your answers to the nearest hundredth.

Question 10

Plot (3, -5) on the Cartesian plane.

Question 11

Graph y = -1.

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

The profit on a table is $400 and the profit on a chair is $150. Write the profit function as a function of the number of tables and the number of chairs sold.

Question 23

Plot (-4, 0) on the Cartesian plane.

Question 24

Question 25

Question 26

Question 27

Plot (1.5, -3.9) on the Cartesian plane.

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Find the slope of the line passing through the points (4.4, 2.8) and (0.8, 3.0).

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

The difference between the ages of two friends is 14 years. The sum of their ages is 38 years. Find their ages.

Question 42

Question 43

Question 44

Question 45

Question 46

Graph y = 4.

Question 47

Question 48

Plot (-3, -3) on the Cartesian plane.

Question 49

Question 50

Question 51

Find the slope of the line passing through the points (-7, 7) and (2, -5).

Question 52

Question 53

Question 54

Graph the linear inequality. y < -1

Question 55

Plot the point (-2, -4) on the Cartesian plane.

Question 56

Question 57

Adult tickets for a play cost $13 and child tickets cost $3. If there were 23 people at a performance and the theatre collected $99 from ticket sales, how many adults and how many children attended the play?

Question 58

Question 59

Question 60

Colin invested $27,000, part at 16% and part at 1%. If the total interest at the end of the year is $3120, how much did he invest at each rate?

Question 61

Determine whether the system is consistent, inconsistent, or dependent.
$$\begin{array} { l } - 3 x + 4 y = - 1 \\15 x - 20 y = 5\end{array}$$

A) Consistent
B) Dependent
C) Inconsistent

Question 62

$$\text { Use the vertical line test to determine if the graph represents a function. }$$

A) Not a function.
B) Function.

Question 63

Question 64

State whether or not the relation is a function. Assume that $x$ represents the first coordinate.
$$3 x + 7 y = 2$$

A) Function
B) Not a function

Question 65

Question 66

Question 67

Question 68

Decide if the matrix is in row echelon form.
$$\left[ \begin{array} { c c | c } - 7 & 0 & 7 \\0 & 0 & 0\end{array} \right]$$

A) not in row echelon form
B) row echelon form

Question 69

Question 70

A neighborhood has come together to make a community garden out of a 90-square-foot plot of land between two houses and in it, they grow organic tomatoes and squash. It costs them $10 to grow a square foot of tomatoes and $15 to grow a square foot of squash each month. They are able to raise $1140 each month to cover the costs of growing the vegetables. The profit for each square foot of tomatoes is $15 and the profit for each square foot of squash is $20. How many square feet of each vegetable should be grown in order to maximize the community's profit?

A) 0 square feet of tomatoes and 76 square feet of squash
B) 90 square feet of tomatoes and 0 square feet of squash
C) 42 square feet of tomatoes and 48 square feet of squash
D) 48 square feet of tomatoes and 42 square feet of squash

Question 71

Question 72

Question 73

Sue has a sock drawer where she collects nickels, dimes and quarters. The total number of coins in her drawer is 66 with a total value of $8.85. The number of quarters plus the number of dimes is 12 more that the number of nickels. How many coins of each type does she have?

A) 27 nickels, 15 dimes, 24 quarters
B) 24 nickels, 15 dimes, 27 quarters
C) 29 nickels, 11 dimes, 26 quarters
D) 29 nickels, 13 dimes, 24 quarters

Question 74

Before class, Mike ate one sixth of the cookies in his bag, and then he ate one half of the cookies remaining, and then later on the bus, he ate 6 more cookies. If there were 48 cookies in the bag, how many did Mike eat?

A) 34 cookies
B) 14 cookies
C) 38 cookies
D) 47 cookies

Question 75

Find the coordinates of the $x$ -intercept.
$- 8 x + 3 y = - 72$

A) (-24, 0)
B) (0, 9)
C) (9, 0)
D) (0, -24)

Question 76

Evaluate the profit function for each vertex to determine which vertex gives the maximun profit.
$$P = \$ 10 x + 50 y ; ( 0,0 ) , ( 5,10 ) , ( 13,0 ) , ( 0,15 )$$

A) (0 ,15)
B) (0, 0)
C) (13, 0)
D) (5, 10)

Question 77

Question 78

$\text { Which point is graphed below? }$

A) (-4, 5)
B) (4, -5)
C) (-5, 4)
D) (5, -4)

Question 79

$$\text { Use the vertical line test to determine if the graph represents a function. }$$

A) Function
B) Not a function

Question 80