the mitchell family is renting a boat for the day. the boat rental has a flat fee of $100 plus $20 for each…

the mitchell family is renting a boat for the day. the boat rental has a flat fee of $100 plus $20 for each hour. they have to pay for a whole hour even if they are not out on the lake for a whole hour. for example, if they rent the boat for 3 and one - half hours, they have to pay for 4 hours.\nif they want to spend $250 or less on the boat rental for the day, how many hours can they rent the boat? formulate an inequality and solve.\na 100 + 20x ≤ 250; they can boat for 7 hours.\nb 100 + 20x ≥ 250; they can boat for 8 hours.\nc 100 + 20x ≤ 250; they can boat for 8 hours.\nd 100 + 20x ≥ 250; they can boat for 7 hours.

the mitchell family is renting a boat for the day. the boat rental has a flat fee of $100 plus $20 for each hour. they have to pay for a whole hour even if they are not out on the lake for a whole hour. for example, if they rent the boat for 3 and one - half hours, they have to pay for 4 hours.\nif they want to spend $250 or less on the boat rental for the day, how many hours can they rent the boat? formulate an inequality and solve.\na 100 + 20x ≤ 250; they can boat for 7 hours.\nb 100 + 20x ≥ 250; they can boat for 8 hours.\nc 100 + 20x ≤ 250; they can boat for 8 hours.\nd 100 + 20x ≥ 250; they can boat for 7 hours.

Answer

Explanation:

Step1: Formulate the inequality

Let (x) be the number of hours. The flat fee is (100) and the cost per hour is (20). They want to spend (250) or less. So the inequality is (100 + 20x\leq250).

Step2: Solve the inequality

Subtract (100) from both sides: (20x\leq250 - 100) (20x\leq150) Divide both sides by (20): (x\leq\frac{150}{20}=7.5) Since they pay for a whole hour even if not a full - hour, (x = 7)

Answer:

A. (100 + 20x\leq250); They can boat for (7) hours.