Question

jenny earned a 77 on her most recent test. jenny’s score is no less than 5 points greater than \\(\frac{4}{5}\\) of terrance’s score. if \\(t\\) represents terrance’s score, which inequality represents the situation?\
\\(\bigcirc\\) \\(77 > 5 + \frac{4}{5}t\\)\
\\(\bigcirc\\) \\(77 \geq 5 + \frac{4}{5}t\\)\
\\(\bigcirc\\) \\(77 < 5 + \frac{4}{5}t\\)\
\\(\bigcirc\\) \\(77 \leq 5 + \frac{4}{5}t\\)

Explanation:

Step1: Analyze the phrase "no less than"

The phrase "no less than" means "greater than or equal to" ($\geq$).

Step2: Translate "5 points greater than $\frac{4}{5}$ of Terrance’s score"

$\frac{4}{5}$ of Terrance’s score (where $t$ represents Terrance’s score) is $\frac{4}{5}t$. 5 points greater than that is $5+\frac{4}{5}t$.

Step3: Form the inequality for Jenny's score

Jenny's score is 77, and it is no less than $5+\frac{4}{5}t$. So the inequality is $77\geq5+\frac{4}{5}t$.

Answer:

$77\geq5+\frac{4}{5}t$ (corresponding to the option with $\geq$ and $5+\frac{4}{5}t$)