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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

Respuesta :

MrRoyal

Answer:

[tex]0.10d + 0.25q > 143.88[/tex]

Step-by-step explanation:

Let the total dimes collected be d.

[tex]1\ dime = \$0.10[/tex]

[tex]d\ dimes = \$0.10d[/tex]

Let the total quarters collected be q.

[tex]1\ quarter = \$0.25[/tex]

[tex]q\ quarters = \$0.25q[/tex]

[tex]Last\ Year = \$143.88[/tex]

Required

Represent as an inequality

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

[tex]Total = 0.10d + 0.25q[/tex]

From the question, we understand that:

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

This can be represented as:

[tex]Total > Last\ Year[/tex]

Substitute in the right values:

[tex]0.10d + 0.25q > 143.88[/tex]