Question

harita must memorize 90 measures of music for her cello solo at a concert. she plans on memorizing 18 new measures for every 3 days of practice. which equation can be used to determine m, the number of measures harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece?
$m = 108 - 3d$
$m = 101 - 21d$
$m = 72 - 15d$
$m = 90 - 6d$

Explanation:

Step1: Find the daily memorization rate

Harita memorizes 18 measures in 3 days. So the daily rate is $\frac{18}{3}=6$ measures per day.

Step2: Form the equation for remaining measures

The total measures to memorize is 90. The number of measures memorized in $d$ days is $6d$. So the remaining measures $m$ is $m = 90 - 6d$.

Answer:

\( m = 90 - 6d \)