Question

Barbara is a waitress and she usually takes between 5 and 9 tables at a time. She found that when she is assigned five tables, she averages $15 in tips per table per shift. If she is assigned more tables, the amount of attention she gives to each table decreases. Therefore, she averages less in tips per table. Suppose each additional table causes every table to bring in $3 less in tips. Which of the following equations could be used to find the amount of money she would make in tips if she takes 5 + x tables?
T(x) = -3x2 + 75
T(x) = x2 + 5x
T(x) = 20 - x
T(x) = 3x2 + 75

Answer 1

@Zale101

Answer 2

I thought this was A.

Answer 3

You're right! It is A :)

Answer 4

Can you help with a few more @Miracrown ?

Answer 5

Sure, lets see ...

Answer 6

Luke had money invested into two separate companies in the stock market. At the beginning of the week, both companies had the same amount of money in their accounts. Then, each stock began to decrease daily. Company A's stock decreased by a dollars a day and Company B's stock decreased by b dollars a day. After x days, which of the following expressions represents how much more money Company B lost than Company A?
bx - a

b - ax

(a - b)x

(b - a)x

Answer 7

What are your thoughts

Answer 8

Wasnt really sure where to start on this one...But if i were to think anything it would be C.

Answer 9

hmmm.. it seems that could be a different one
but very similar?

Answer 10

Oh so D?

Answer 11

Yep

Answer 12

Which expression represents the following sequence of operations on a number ?
Subtract 2 from then divide the answer by 7.

Answer 13

I think (x - 2)/7?

Answer 14

Subtract two from what?

Answer 15

subtract 2 from x

Answer 16

Ok, then it is correct!

Answer 17

Just like 3 more?

Answer 18

Okie

Answer 19

At the movie theater, the price of an adult ticket is "a" dollars and the price of child's ticket is "b" dollars. If x adults and y children go to the movies, which of the following expressions represents the total number of adults and children who go to the movies?
x + a

ax + by

a + b

x + y

Answer 20

I thought D

Answer 21

Correct

Answer 22

If a and b are integers, which of the following expressions represents the sum of two odd integers?
2(a + b) + 1

2(a + b + 1)

a + b + 2

a + b


I thought D again.

Answer 23

Not quite, while that is sometimes the case it is not always the case.

Answer 24

Then B maybe?

Answer 25

Hint: among your answers there is an expression guaranteed to be odd no matter what.

Answer 26

Try again there are two ways you can solve this problem

Answer 27

One is to consider different values of a and b, like both even, both odd, one even and the other odd.

Another is to remember that 2*(any integer) +1 is always odd.

Answer 28

Ohhh so its A ._.

Answer 29

Yerp .-.

Answer 30

It was b ._.

Answer 31

Since a and b are integers , there sum is an integer , since 2*integer +1 is always odd a is the answer.

Answer 32

A way to remember that formula is : 2*anything is even , and the next number in sequence +1 is always odd.

Answer 33

It can't be b that is guaranteed to be even. 2*(anything ) by definition is even.

Answer 34

Well the test said it was B so this test is flawed.
The length of a rectangle is 4 units less than 7 times its width. The area of the rectangle is 188 square units. Which of the following equations can be used to find w, the width of the rectangle?
8w - 28 = 188
8w - 4 = 188
7w2 - 4w = 188
7w2 - 28w = 188

Answer 35

Last one i think its B again.

Answer 36

Wait I may have misread the problem. Yes , sorry I misread the problem.
I thought it was asking which one of those must be odd. If a and b are integers.

Answer 37

I will explain b

Answer 38

We need to express the sum of two odd numbers using a and b.
One such number is : 2a+1

Answer 39

Ohhhh i see...

Answer 40

And you do realize that we're not allowed to help you with a test.
It is designed for you, not for someone else. But I can help confirm your answers :)

Answer 41

lol exactly why im giving you what i think...
Dont worry ive been around OS a while lol

Answer 42

I know dood :^)

Answer 43

Now that im looking at the last one i asked im thinking its either C or B...Im so confused...

Answer 44

Let me check ...

Answer 45

B should be auto eliminated.
This is because we require a quadratic expression in terms of w.

A = l*w , even when you get l in terms of w , when plugging back in you will get a quadratic in w.

Answer 46

O.O
Well thats something i should def make a note of.

Answer 47

Yerp. So What did you come up with?

Answer 48

It cant be C or D since thats a hyperbola? So it would have to be A?

Answer 49

Nope, think again ---- it has to be C or D , those are the only ones with a w^2 in them.

Answer 50

Im lost now ._.

Answer 51

let's do this formally instead of relying on answer choices

Answer 52

Roger

Answer 53

Done and the answer is C :)
Thanks for your help mate