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 = 101 - 21d m = 72 - 15d m = 90 - 6d

Explanation:

Step1: Identify the initial - number of measures and rate of memorization

Harita must memorize 90 measures. She memorizes 18 new measures every 3 days. The rate of memorization per day is $\frac{18}{3}=6$ measures per day. Let $m$ be the number of measures left to memorize and $d$ be the number of days of practice.

Step2: Set up the linear - equation

The initial number of measures is 90, and the number of measures she memorizes in $d$ days is $6d$. So the number of measures she has left to memorize $m$ is given by the equation $m = 90-6d$.

Answer:

$m = 90 - 6d$