Using the inequality concept, the expression models the number of days Samuel can afford to rent while staying within his budget is 11x + 18 ≤ 40
Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
A rental car company charges $22 per day to rent a car and $0.08 for every mile driven
The maximum amount to spend = $80
Fixed charge per day $22
Charge per mile = $0.08
The inequality which represents the number of days Can be expressed thus :
(Charge per day × number of days) + (charge per mile × number of miles) ≤ 80
22x + 0.08× 450 ≤ 80
22x + 36 ≤ 80
Divided by 2 both sides of an inequality,
11x + 18 ≤ 40
Hence, the required inequality expression is 11x + 18 ≤ 40
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