Question

Since 1970, the # (in thousands) of males M and females F attending institutes of higher education can be modeled by: M=0.091t^3-4.8t^2+110+5,000 and F=0.19t^3-12t^2=350t+3,600 where t is the number of yrs since 1970. Write a model for the total # of people attending institutes of higher education.

Answer 1

To find the total number of people attending institutes of higher education, add the number of males and females in each year using the given models.

Step-by-step explanation:

To find the total number of people attending institutes of higher education, you need to add the number of males (M) and females (F).

The model for the number of males is given by M = 0.091t^3 - 4.8t^2 + 110t + 5,000, and the model for the number of females is given by F = 0.19t^3 - 12t^2 + 350t + 3,600.

To get the total number of people, simply add M and F: Total = M + F.

For example, if we want to find the total number of people in year t = 1980, we substitute t = 1980 into the models for M and F, and then add the values: M(1980) = 0.091(1980)^3 - 4.8(1980)^2 + 110(1980) + 5,000 and F(1980) = 0.19(1980)^3 - 12(1980)^2 + 350(1980) + 3,600.

Finally, we find the total by adding these values: Total = M(1980) + F(1980).

Answer 2

can you make this clearer so i can understand