160k views
16 votes
Henrietta’s family is on a road trip from new york city to los angeles ca they have set a goal of reaching the 1,500 mile mark half way across the country by the end of the day tomorrow. when they ended their driving today, they had travelled 1,322 miles, and averaged a speed of 60 miles per hour. if they want to meet their goal, how many hours do they need to drive for tomorrow (assuming they are going to go at the same speed of 60 miles per hour) write and solve an inequality to represent this situation.

2 Answers

9 votes

Final answer:

To solve this problem, set up the inequality 1,322 + 60x <= 1,500, where x is the number of hours they need to drive for tomorrow. Solve for x by subtracting 1,322 from both sides and dividing by 60. The solution is approximately 2.97 hours.

Step-by-step explanation:

To solve this problem, we can set up an inequality. Let x represent the number of hours they need to drive for tomorrow. The inequality is: 1,322 + 60x <= 1,500. This inequality represents the distance traveled today (1,322 miles) plus the distance they need to travel tomorrow (60x miles) is less than or equal to their goal distance (1,500 miles).

To solve for x, we can subtract 1,322 from both sides of the inequality: 60x <= 1,500 - 1,322 = 178. Then, divide both sides of the inequality by 60: x <= 178/60 = 2.97 (rounded to two decimal places).

So, they need to drive for approximately 2.97 hours tomorrow to meet their goal.

User Kelly Merrell
by
5.2k points
5 votes

Answer:

uhm can i see the formula for the question?

Step-by-step explanation:

User Nagashayan
by
6.1k points