Question

a concession stand vendor counts the money in the register. after 2 h it has $82.75. after 6 h is has $ 360.75. how much money will be in the register at the end of an 8h shift?

Answer 1

Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

Answer 2

well we can assume it is linear I geuss? Use the points (2,82.75) and (6,360.75) and find the equation of the line through them. Then plug 8 into your equation to estimate the amount at the end of 8 hours, assuming that this relationship is linear

Answer 3

what would the solution be?

Answer 4

do you know how to find slope, and use point slope form for the equation of a line

Answer 5

?

Answer 6

or just find money per hour:

(360.75-82.75)/4=69.5 per hour

Answer 7

did you get 489.25?

Answer 8

then in two more hours there will be 139 more. 360.25+139=499.25

Answer 9

i get 499.25

Answer 10

woops i made a mistake

Answer 11

its 360.75+139=499.75

Answer 12

thank you so much!

Answer 13

no rsvitale, you are incorrect. because initially the vendor had to start at 0,0. and your line doesn't pass through that

Answer 14

you would start with some money in the register for change

Answer 15

there was nothing saying you start with no money

Answer 16

there is nothing to suggest its linear either.

Answer 17

so there is not really enough information,

Answer 18

yup, thats my sense too.

Answer 19

there are a lot of functions that go through 2 points

Answer 20

exactly.

Answer 21

the initial conditions should have been specified, or at least the peak purchase times.

Answer 22

i assumed since it is algebra 2 it was linear, i don't remember doing anything more advanced than that when I took that class

Answer 23

oh I see. then it should be all right.

Answer 24

actually, rsvitale, if you plot the graph, at hour 0, the vendor has negative money.
so your argument that he has some money for change is not valid.

Answer 25

well rsvitale was right because my quiz showed i got that question right

Answer 26

I am sure he was right. but the problem doesn't give enough information. I think for the class you are taking, you assume that it is linear, but you cannot make that assumption as you study more advanced topics.

Answer 27

true