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?

Question

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

Answer 1

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.