Question

which word problem is modeled by the inequality below?
`3 + 6x \geqslant 94`A. Sarah has already saved $6. She earns $3 per hour. She needs a minimum of $94 to buy a new bike. What is the minimum number of hours she must work?B. Sally has already earned 3 points extra credit. She receives six points for each problem that she answers correctly. She needs a minimum of 94 to get an A on the test. What is the minimum number of problems she must answer correctly? C. A bus has 3 passengers. It will get 6 passengers per stop. It has 94 seats available. What is the most number of stops the bus can make to ensure that all passengers have a seat?D. Paul has already waited for 3 minutes. He will need 6 minutes to work each problem on a test. He has a total of 94 minutes to take the test. How many pounds can he finish before the end of the test?​

Answer 1

The inequality 3 + 6x ≥ 94 models the scenario where Sally needs to earn at least 94 points to get an A on her test, given that she already has 3 points in extra credit and receives six points for each correctly answered problem.

Step-by-step explanation:

The inequality 3 + 6x ≥ 94 represents a situation where the variable x is influenced by multiplying it by 6 and adding 3 to find a value that is at least 94. When reviewing the provided word problems, the correct scenario modeled by the inequality is B. Sally has already earned 3 points extra credit. She receives six points for each problem that she answers correctly. She needs a minimum of 94 points to get an A on the test. The inequality represents the number of problems Sally must answer correctly to achieve her goal, where x is the number of problems and the 3 points are the extra credit she already has.