Question

This year, students in the 9th grade are collecting dimes and quarters for a school fundraiser. They are trying to collect more money than the students who were in the 9th grade last year. The students in 9th grade last year collected $143.88. Using LaTeX: dd to represent the number of dimes collected and LaTeX: qq to represent the number of quarters, which statement best represents this situation? Group of answer choices LaTeX: 0.25d + 0.1q \geq 143.880.25 d + 0.1 q ≥ 143.88 LaTeX: 0.25q + 0.1d \geq 143.880.25 q + 0.1 d ≥ 143.88 LaTeX: 0.25d + 0.1q > 143.880.25 d + 0.1 q > 143.88 LaTeX: 0.25q + 0.1d > 143.88

Answer 1

`0.10d + 0.25q > 143.88`

Explanation:

Let the total dimes collected be d.

`1\ dime = \$0.10`

`d\ dimes = \$0.10d`

Let the total quarters collected be q.

`1\ quarter = \$0.25`

`q\ quarters = \$0.25q`

`Last\ Year = \$143.88`

Required

Represent as an inequality

The total collection, this year, can be represented as:

`Total = 0.10d + 0.25q`

From the question, we understand that:

This year's collections is expected to be greater than last year's

This can be represented as:

`Total > Last\ Year`

Substitute in the right values:

`0.10d + 0.25q > 143.88`