Jim needs to rent a car. A rental company charges $21.0 per day to rent a car. and $0.10 for every mile driven. He will travel 250 miles. He has $115.00 to spend. Write an inequality that can be used to determine d, the maximum number of days that Jim can rent a car. Jim believes the maximum whole number of days he can rent the car is 5. Is he correct?

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Answer:

He cant rent the car for 5 days

Step-by-step explanation:

21 * 5 = 105

0.10 * 250 = 25

105 + 25 = 130

He only has 115 to spend

Answer: Yes, Jim is correct.

Step-by-step explanation:

Let d represent the number of days that Jim can rent the car.

rental company charges $21.0 per day to rent a car. and $0.10 for every mile driven. This means that if he rents the car for d days and drives x miles, the total amount that he would pay is

21d + 0.01x

He will travel 250 miles. He has $115.00 to spend. Therefore, the inequality that can be used to determine d, the maximum number of days that Jim can rent a car would be

21d + 0.01 × 250 ≤ 115

21d + 2.5 ≤ 115

21d ≤ 115 - 2.5

21d ≤ 112.5

21d ≤ 112.5/21

d ≤ 5.35

Therefore, Jim is correct