Question

An animal shelter conducts an annual fundraising drive. The animal shelter must raise enough money to cover their annual rental of 2,500 and weekly expenses of 450. So far, the shelter has received a one-time donation of 125 and pledged donation of 680 per week. Write an inequality that can be used to find w, the number of weeks the shelter when the expenses are more than the donations?

Answer 1

To determine the number of weeks when an animal shelter's expenses exceed its donations, we can use the inequality 450w + 2,500 > 680w + 125, where w is the number of weeks.

Step-by-step explanation:

The question involves writing an inequality that represents the situation where an animal shelter's expenses exceed its donations over a certain number of weeks. To do this, we must compare the total expenses to the total donations for w weeks.

The shelter's annual rent is $2,500, which is a one-time expense. The weekly expenses amount to $450. They have already received a one-time donation of $125 and also receive pledged weekly donations of $680.

To find when expenses exceed donations, we can write the inequality as follows:

450w + 2,500 > 680w + 125

This inequality will help us calculate the number of weeks, w, when the shelter's total expenses will be greater than the total donations received.