Linear Equations and Inequalities

Linear Equations and Inequalities

Secondary 3

A bicycle rental shop offers these plans for a positive whole number \(d\) of days:

Plan A : a fixed charge of \(\$18\), plus \(\$7\) per day.
Plan B : \(\$11\) per day, with no fixed charge.

Find the minimum number of days for which Plan A is strictly cheaper.
A customer has a budget of \(\$60\) and chooses Plan A. Find the maximum number of days affordable.
For which whole numbers of days is Plan A both cheaper than Plan B and within the budget?

Solution:

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Answer:(a) \(5\) days; (b) \(6\) days; (c) \(5\) or \(6\) days.

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