Question

You want to take a trip to the beach, which costs $450. You

have $900 in your bank account but must withdraw $60
each week to pay for groceries. What is the maximum
number of weeks you can withdraw money and still have
enough to take your trip to the beach?


I need the inequality, inequality answer, final answer

Answer 1

By setting up an inequality and solving it, the student can determine that they can withdraw money for groceries for at most 7 weeks before their bank account falls below the amount needed for a trip to the beach.

Step-by-step explanation:

To determine the maximum number of weeks a student can withdraw money for groceries and still have enough for a trip to the beach, we set up an inequality. Let's represent the number of weeks as w. The cost for groceries per week is $60, so the amount spent on groceries after w weeks will be $60w. The student starts with $900 and wants to keep at least $450 for their trip. The inequality will represent the condition that after withdrawing money for w weeks, at least $450 must remain:

900 - 60w ≥ 450

Now, solve the inequality step by step:

Subtract 900 from both sides: -60w ≥ -450

Since we are dividing by a negative number, we must flip the inequality sign for the next step: w ≤ 7.5

Because we cannot withdraw money for a fraction of a week, the student can withdraw money for at most 7 weeks.

The final answer is that the student can withdraw money for groceries for up to 7 weeks and still have enough money to take their trip to the beach.

Answer 2

900 - 60n ≥ 450

n ≤ 7.5

Answer: 7 weeks

Step-by-step explanation:

Let n = numberof weeks.

In n weeks, you withdraw 60n from the account.

After withdrawing $60 for n weeks, teh amount must be at least $450. At least $450 means greater than or equal to $450.

900 - 60n ≥ 450

-60n ≥ -450

n ≤ 7.5

Answer: 7 weeks