Question

harita must memorize 90 measures of music for her cello solo at a concert. she plans to memorize a certain number of measures for every 3 days of practice. which equation can be used to determine m, the number of measures still needs to memorize, as a function of d, the number of days of practice since she began?
\\( m = 72 - 18d \\)
\\( m = 90 - 6d \\)
\\( m = 101 - 21d \\)
\\( m = 108 - 3d \\)

Explanation:

Step1: Find daily memorization rate

She memorizes 18 measures in 3 days, so daily rate is $\frac{18}{3}=6$ measures/day.

Step2: Define total memorized measures

Total memorized after $d$ days: $6d$

Step3: Set up remaining measures equation

Total measures: 90. Remaining $m = 90 - 6d$

Answer:

$m = 90 - 6d$