Math 2 questions
posted by Anonymous .
I need help with 2 questions so that I could do my other ones myself so can someone please do these 2 questions so i get an example how to do them, thanks.
1. Lauren works for a bookstore. One of the stores suppliers has a promotion in which any in stock childrens book cost $4 incliding tax/ Laurn has been told that she can spend at most $150 on books for the store. How many books can lauren buy and stay within the store's spending limit.
a.) Use an inequality to represent the situation.
b.) Determine the solution and use it to solve the problem.
c.) verify your solution
For a.) i got x < or equal to 150, is it right?
2. Customers can use a pottery studio's kiln and equipment. They can pay in 2 ways for access to the studio. How many uses in a year would make the mebers plan the better option?
studio access rates:
single use: $37.50 per session
Members plan: $285 for unlimited use annually
a.) use an inequality to represent the situation
b.) use the ineqaulity to solve the problem
c.)is the boudary point itself a reasonable solution to the problem?
YES, NO ,EXPLAIN

1.
let the number of books she can buy be x
x ≤ 150/4
x ≤ 37.5 books
but x must be a whole number, so
x ≤ 37
check:
if she buys 37 books, cost = 4(37) = 148, which is within her limit
if she buys 38 books, cost = 4(38) = 152 , which goes over her limit of 150
so x ≤ 37
2.
single use: cost = 37.50n, where n is the number of uses
member use: cost = 285
we want 37.5n ≤ 285
divide by 37.5
n ≤ 285/37.5
n ≤ 7.6
but we can't have a partial visit, so consider
n = 7 or n = 8
Which one?
Well, with the single use plan,
7 visits would cost 7(37.5) or $262.50 which is < 285
8 visits would cost 8(37.5) or $300 which is > 285
So for 8 or more visits, the membership plan would be best, for 7 or less the single use plan would be better.
Respond to this Question
Similar Questions

to kill a mockingbird
which details help the reaer understand that the jail house is a symbol of maycomb's resistance to progress? 
Need help in math
Janet took a test that contained 328 questions. She answered 75% of the questions. How many questions did she answer. please show your work thanks 
Math
I need help solving this math problem, please: Problem: Angela's math test had 100 multiplechoice questions. Each correct answer was worth 1 point, each incorrect answer was worth 2 points, and skipped questions were worth 0 points. … 
math help
I need help solving this math problem, please: Problem: Angela's math test had 100 multiplechoice questions. Each correct answer was worth 1 point, each incorrect answer was worth 2 points, and skipped questions were worth 0 points. … 
English
I need to give example of these verbs when followed by the gerund or the infinitive. I hope you can help me. 1) She missed being run over by a lorry. She excepted ... (I can't find a good example) 2) She failed to answer all the questions. … 
Science 7R  Worksheet (Q5)
********* Sorry I post too much question but these are the questions I'm having trouble with, the other questions on my science worksheet i done it by myself This is the last one I need help with and that's it E. How is the structure … 
To Math Helpers please:Math 2 questions
I'll retype it, Ive been waiting forever and i just need someone to do these 2 questions so that i can continue doing my other ones so can someone do them: I need help with 2 questions so that I could do my other ones myself so can … 
Math(Factorial)
A women student is to answer 10 out of 13 questions on a test. Find the number of choices where she must answer: (a) the first two questions; (b) the first or second questions but not both; (c) exactly 3 out of the first 5 questions … 
To nina  English
Please post your own questions as new questions, not as replies to other students' questions. 
math
Could someone help me solves these questions?