Hello All,
I am stuck on this question for homework, help appreciated ( I really only need the answer to number one)
A new high school opened seven years ago. The number of members, M, in the
high school marching band can be modeled by
where y is the number of years since the school opened:
M= (-1316y - 6387)/(3.89y - 100) , 0 ≤ y ≤ 7
The number of trumpet players, T, in the same marching band can be modeled
by
(-245y-550)/(1.79y-100) , 0 ≤ y ≤ 7
where y is the number of years since the school opened.
1. Write a model to find the percent of trumpet players, T, in the marching
band for each year.
To find the percent of trumpet players in the marching band for each year, you'll need to divide the number of trumpet players (T) by the total number of members in the marching band (M) for each year. Then, multiply the result by 100 to convert it to a percentage.
The model for the percent of trumpet players (P) in the marching band for each year can be written as:
P = (T / M) * 100
Now, let's substitute the expressions for T and M into the equation:
P = ((-245y - 550) / (1.79y - 100)) / ((-1316y - 6387) / (3.89y - 100)) * 100
Simplifying the expression further, we have:
P = ((-245y - 550) * (3.89y - 100)) / ((-1316y - 6387) * (1.79y - 100)) * 100
And that's the model to find the percent of trumpet players in the marching band for each year.