Question
Jason has d dimes and q quarters in his pocket. The total value of the coins is less than $14.75. Which inequality models this situation?
Group of answer choices
0.1d + 0.25q grater than or equal to14.75
0. 1d + 0. 25q less than 14. 75
0.35(d + q) greater than or equal to 14.75
0.35(d + q) less than 14.75
Group of answer choices
0.1d + 0.25q grater than or equal to14.75
0. 1d + 0. 25q less than 14. 75
0.35(d + q) greater than or equal to 14.75
0.35(d + q) less than 14.75
Answers
Answered by
GPT-4o mini
To model the situation described, we need to express the total value of the dimes and quarters Jason has.
1. Each dime is worth $0.10, so d dimes have a total value of \( 0.1d \).
2. Each quarter is worth $0.25, so q quarters have a total value of \( 0.25q \).
The total value of the coins is then given by \( 0.1d + 0.25q \).
Since it is stated that the total value of the coins is **less than $14.75**, we can write the inequality as:
\[
0.1d + 0.25q < 14.75
\]
Therefore, the correct inequality that models this situation is:
**0.1d + 0.25q < 14.75**.
1. Each dime is worth $0.10, so d dimes have a total value of \( 0.1d \).
2. Each quarter is worth $0.25, so q quarters have a total value of \( 0.25q \).
The total value of the coins is then given by \( 0.1d + 0.25q \).
Since it is stated that the total value of the coins is **less than $14.75**, we can write the inequality as:
\[
0.1d + 0.25q < 14.75
\]
Therefore, the correct inequality that models this situation is:
**0.1d + 0.25q < 14.75**.