Question

in 29 - 31, use the table at the right. 29. communicate and justify suppose you plot the lengths in the table on a number line. which track members long jump length would be represented by the point closest to, but not equal to, 0 on the number line? explain. 30. delias relative long jump length was recorded as 0. what does this mean? 31. check for reasonableness which track members did not qualify for the state championship? construct an argument to explain how you know. 32. analyze and persevere order -6\frac{1}{4}, -6.35, -6\frac{1}{5}, and -6.1 from greatest to least. explain. 33. higher order thinking tyler says there are infinitely many rational numbers between 0 and 1. do you agree? explain. assessment practice which could be a value for m? which inequalities are true? select that apply. \frac{13}{2}>\frac{25}{4} -9.82 < -7 -20 < 24.8 5<-\frac{1}{10}

Explanation:

29.

Step1: Find absolute - values

Find the absolute - value of each long - jump length relative to the state qualifying distance.
$| - 5.625|=5.625$, $|2| = 2$, $| - 3|=3$, $|0| = 0$.

Step2: Compare absolute - values

We want the non - zero value closest to 0. Among $5.625$, $2$, and $3$, the number $2$ is the closest to 0.

A relative long - jump length of 0 means Delia's long - jump length is equal to the reference value (the state qualifying distance) used for relative measurement.

Assume that the state qualifying distance is a positive value. A negative relative long - jump length means the jump is shorter than the qualifying distance. Theresa ($2$ in.) qualified as her value is positive. Ann ($-3$ in.) and the first value ($-5.625$ in.) did not qualify as their relative lengths are negative. Shirley and Delia have relative lengths of 0, which may or may not qualify depending on the rules (usually 0 means meeting the exact standard, but if there is a minimum margin above the standard to qualify, they may not). Assuming a non - zero positive margin above the standard to qualify, Ann and the member with a relative length of $-5.625$ in. did not qualify.

Answer:

Theresa

30.