Question

4) Choose the correct inequality for this situation.

The Walter family budgets a maximum amount of $124 for a camping trip.
Mr. Walter already spent $40. How many people x can go canoeing if the
cost is $21 per person?
A- 21x + 40 >_ 124
B- 21x + 40 <_124
C- 40x + 21 < _124
D- 21x + 40 > 124

Answer 1

B. 21x + 40 ≤ 124

Explanation:

Maximum amount budgeted = $124 (this means they can't spend more than this)

x = number of people

Cost per head = $21

Given that Mr Walter already spent $40, which is part of the money budgeted, the number of people that can go canoeing cam be expressed with the following inequality:

21x + 40 ≤ 124

(note: the amount total to be spent will either be equal to or greater than $124, because it's the maximum amount budgeted for spending).