An inequality which can be used to determine x, the number of days Bilquis can afford to rent while staying within her budget is 48x + 0.08(175) ≤ 110. The number of days Bilquis can afford to rent a car while staying within her budget is 2 days.
In order to write a linear inequality to describe this situation, we would assign a variable to the number of days Bilquis can afford to rent while staying within her budget, and then translate the word problem into a linear inequality as follows:
Let the variable x represent the number of days Bilquis can afford to rent.
Based on the information provided about Bilquis's budget, a linear inequality to model this situation can be written as follows;
48x + 0.08(175) ≤ 110
Next, we would solve the linear inequality for x as follows;
48x + 14 ≤ 110
48x ≤ 110 - 14
48x ≤ 96
x ≤ 96/48
x ≤ 2
Complete Question:
A rental car company charges $48 per day to rent a car and $0.08 for every mile driven. Bilquis wants to rent a car, knowing that:
. She plans to drive 175 miles.
. She has at most $110 to spend.
Write and solve an inequality which can be used to determine x, the number of days Bilquis can afford to rent while staying within her budget.