Question

Heather paid $1,940.20 for a computer. If the price paid includes a 9% sales tax, which of the following equations can be used to determine the price of the computer after tax?

(Let x represent the cost of the computer and y represent the total cost after tax.)
A. y = 1.9x
B. y = x + 9x
C. y = 0.91x
D. y = 1.09x
6. Marcus works as a salesman at a car dealership. He is paid a base salary of $1,253.20 each month, and he receives a commission of $161.45 for each vehicle he sells. If last month Marcus earned $8,195.55, how many cars did he sell last month?
A. 29
B. 43
C.

Answer 1

A. 29
B. 43
C. 86
D. 102

Answer 2

#5) Let "x' be whatever item's price is and 9% could be presented as 0.09 or 9/100. but we want that tax to apply to the item's price. so we need it to be 1 + 0.09, where "1" is the initial value of the price of the item.

#6) 8195.55 = 1253.20 + 161.45c
where "c" represents the number of cars sold last month. As 1253.20 is his base salary for each month and the total earnings he got is 8195.55

Answer 3

So #5 = and D?

Answer 4

Before, I answer, why would you choose that as your answer?

Answer 5

Well, I thought that you would combine the "1" and 0.9 so it would make 1.09 as tax.

Answer 6

True. But what's so special about the "1" why is that "1" there?

Answer 7

well 1 can for now be the initial value of the price item. Like you said.

Answer 8

Right. So say the price of chair would be $55.00 and the sales tax is 9%.

Say we do y = (55.00)(0.09) = $4.95, which is way below our initial value.
that's why we have the "1" there.
y = (55.00)(1.09) = $59.95

Answer 9

now solve for #6 and explain why.

Answer 10

So wait the answer for #5 is?

Answer 11

A. y = 1.9x
B. y = x + 9x
C. y = 0.91x
D. y = 1.09x

Answer 12

Lol. Why are you unsure? You have given me the answer and I asked why you got that answer =)

Answer 13

Oh D! :D

Answer 14

Yes.

Answer 15

Okay so #6
8195.55 = 1253.20 + 161.45c
fill in c
c = 86
Check: 8195.55 = 1253.20 + 161.45(86)

Answer 16

Okay. Good job. But do you know how I came up with that equation?

Answer 17

Nope! And thats what were learning in class how to come up with them.

Answer 18

Okay well I was incorrect. The answer is not "c" for #6. Seems like you did your math incorrectly.

So it told us that Marcus made a total of $8,195.55 last month right? and then they told us that he gets $1,253.20 every month, and lastly he gets $161.45 for each car sold. And we're asked to find the amount of cards sold, that is why I put that "c" there

Answer 19

right.

Answer 20

So I set $8,195.55 as the "value" we want to get to as that's what Marcus got last month. and then set $1,253.20 as our initial value since Marcus gets that every month right? then our dependent value $161.45 relied on the amount of cars sold in which if you read and understood, this equation is represented:

$8,195.55 = $1,253.20 + $161.45(amount of cars 'c' )

Answer 21

okay,

Answer 22

So what is the answer for #6?

Answer 23

same thing?

Answer 24

thats the same equation.

Answer 25

Yeah. But I told you did your math incorrectly. Look at it closely and do it again.

Answer 26

Okay!

Answer 27

B!

Answer 28

AWESOME! Alright. Cheers to you.

Answer 29

Thank you so much! :D

Answer 30

You're very welcome.

Answer 31

:D