Question

A band club needs to raise a minimum of $800. They have already raised $300 and they have 5 months remaining until the competition. How can you write an inequality expression to determine the amount the club needs to raise during the remaining months (you are finding the dollars per month).

a. 5x > 800
b. 5x + 300 < 800
c. 300x + 5 > 800
d. 5x + 300 > 800

Answer 1

The correct inequality to represent the situation where the club must raise more money to reach a goal of $800 is '5x + 300 > 800'.

Step-by-step explanation:

To determine the amount the club needs to raise during the remaining months, we need to express this as an inequality expression. Let's denote the monthly amount that the club needs to raise as x. They have already raised $300 and need a total of $800, so the money raised in the next 5 months plus the $300 should be more than or equal to $800.

Thus, the inequality that represents this situation is 5x + 300 > 800. Option (d) correctly represents this inequality, which can be read as "Five times the amount raised each month plus $300 should be greater than $800."