Final answer:
The inequality 78 - 2x < 60 can be tied to a word problem about a museum membership fee, solving for the number of extra people one can bring to keep the membership value under $60. The solution is x > 9, meaning the member can bring more than 9 extra people.
Step-by-step explanation:
The word problem for the inequality 78 − 2x < 60 could be: "A museum charges a $78 membership fee which includes free entries. However, for each additional person brought along, the cost for that person (after the free entries) reduces the value of the membership benefits by $2 each visit. If the member wants to keep the value of the membership benefits below $60, how many people can they bring with them each visit?"
To solve the inequality, we need to find x that satisfies the inequalityTherefore, the member can bring more than 9 people with them each visit while keeping the value of the membership benefits below $60.John has 78−2x dollars. He spends some amount of money and now has less than 60 dollars. What is the maximum amount of money John can spend?To solve this problem, we need to set up an inequality: 78−2x < 60. Now we can solve for x by subtracting 78 from both sides and dividing by -2 to get x > 9. Therefore, the maximum amount of money John can spend is when x is greater than 9.