Question

The copy shop offers color copies to gold account holders for a reduced rate of $0.27 each. Jerrold has a budget of &200 for copies. Which inequality best describes the most number of copies he can get if he purchases a gold account for $29.99?

Answer 1

• 
  `29.99 + 0.27n\leq 200`

Explanation:

The shop offers color copies to gold account holders for a reduced rate of $0.27 each.

Let the number of copies =n

Cost of n copies at reduce rate =$0.27n

Since he has to purchase a gold account to enjoy the reduced rate, this also forms part of his budget.

Jerrold has a budget of $200 for copies.

He purchases a gold account for $29.99

Therefore: Total Expenses = 29.99 + 0.27n

Since he cannot exceed his budget, his total expenses must be less than or equal to $200.

• 
  `29.99 + 0.27n\leq 200`

The inequality above best describes the most number of copies he can get if he purchases a gold account.

REMARK

`0.27n\leq 200-29.99\\ 0.27n\leq170.01\\ 0.27n\leq629.7\\n=629`

He will actually get 629 copies.