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.
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.
Answers
GPT 3.5
Let x be the number of days Bilquis can afford to rent.
The cost for renting the car per day is $48.
The cost for driving 175 miles is (175 * $0.08) = $14.
The total cost for x days is 48x.
The total cost for driving 175 miles is 14.
The total cost should be less than or equal to $110.
Therefore, the inequality is:
48x + 14 ≤ 110
To solve for x, we can first subtract 14 from both sides of the inequality:
48x ≤ 110 - 14
48x ≤ 96
Then, divide both sides of the inequality by 48:
x ≤ 96/48
x ≤ 2
Therefore, Bilquis can afford to rent the car for a maximum of 2 days while staying within her budget.
The cost for renting the car per day is $48.
The cost for driving 175 miles is (175 * $0.08) = $14.
The total cost for x days is 48x.
The total cost for driving 175 miles is 14.
The total cost should be less than or equal to $110.
Therefore, the inequality is:
48x + 14 ≤ 110
To solve for x, we can first subtract 14 from both sides of the inequality:
48x ≤ 110 - 14
48x ≤ 96
Then, divide both sides of the inequality by 48:
x ≤ 96/48
x ≤ 2
Therefore, Bilquis can afford to rent the car for a maximum of 2 days while staying within her budget.