Question

matching 1 point match the steps below that show how to write and evaluate an expression to represent the following word problem: a roller coaster can handle up to 30 passengers weighing an average of 160 pounds. new safety standards have lowered the maximum number of passengers by 5. if the average weight of a passenger stays the same, how much would a full - load of passengers weigh under the new limit? write the first expression perform the operation in the parentheses perform the next operation write the combined expression answer the question in context identify the operations in the problem 160(30 - 5) subtraction and multiplication weigh up to 4000 pounds. under the new passenger limits, a full load of passengers could 160(25) 30 - 5 4000

Explanation:

Step1: Determine the number of passengers

The original number of passengers was 30, and the new safety - standards lowered it by 5. So the number of passengers is $30 - 5$.

Step2: Calculate the total weight

The average weight of each passenger is 160 pounds. To find the total weight of all passengers, we multiply the number of passengers by the average weight per passenger. The expression for the total weight is $160\times(30 - 5)$.

Step3: Evaluate the expression

First, perform the operation inside the parentheses: $30-5 = 25$. Then, multiply: $160\times25=4000$ pounds.

Answer:

1. First expression: $160\times(30 - 5)$
2. Operation in parentheses: $30 - 5$
3. Next operation: multiplication (multiply 160 by the result of $30 - 5$)
4. Combined expression: $160\times(30 - 5)$
5. Answer in context: Under the new passenger limits, a full - load of passengers could weigh up to 4000 pounds.
6. Operations in the problem: subtraction and multiplication