Final answer:
The correct inequality that represents Diego's situation of collecting dimes (x) and nickels (y) in a jar, wanting to collect more than $25 is 10x+5y≤2500.
Step-by-step explanation:
The correct inequality that represents Diego's situation of collecting dimes (x) and nickels (y) in a jar, wanting to collect more than $25 is:
d) 10x+5y≤2500
To understand why this is the correct inequality, we need to consider that the value of a dime is 10 cents and the value of a nickel is 5 cents. The inequality represents the total value of the dimes (10x) and the nickels (5y) being less than or equal to $25 (2500 cents), which means that Diego wants to collect an amount of money that is less than or equal to $25. Since Diego wants to collect more than $25, the correct representation is to change the inequality sign to ≤.