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?
Answers
It is given that:
- Harita must memorize 90 measures of music.
- Harita plans on memorizing 18 new measures for every 3 days of practice.
It is required to find the number of days of practice.
Let 'm' be the number of measures, and 'd' be the number of days.
Since Harita will memorize 18 measures for every 3 days, therefore, she will memorize 18/3 = 6 measures per day.
Therefore, the quation that relates 'm' to 'd' is: m = 6d
90 = 6d
d = 15 days
Answer:
Step-by-step explanation:
We know that the total number of measures that Harita has to memorize is 90. We start from that statement. We have to find two quantities that would sum up to 90. The two quantities must also be number in measures for consistency. Since we are given with a rate of 18 new measure for every 3 days, that would be 18 measures/3 days, or 6 measures per day. Harita will memorize 18 measures for every 3 days, therefore, she will memorize 18/3 = 6 measures per day.
Therefore, the quation that relates 'm' to 'd' is: m = 6d
6 days = 90
So, d = 15
So the days is 15