The projected number of men and women enrolled in US colleges, in millions, is modeled in the following formulas: Women: N=0.007x+4.1 Men: N=0.01x +3.9
N represents enrollment, in millions, x years after 1984 (I left this part out last posting).
What is the project enrollment of women in 2004, and what is the projected enrollment of men in 2004?
With x equaling years after 1984, should I subtract 1984 from 2004 to get 20 years then multiply this by 0.007 for the women? What is the +4.1? Do I multiply 4.1 times 20 years also? I’m not sure how to put this into an equation. My guess:
N=20*.007+20*4.1=222
See previous post.
What is the difference between an equation and an expression? Include an example of each. Can you solve for a variable in an expression? Explain. Can you solve for a variable in an equation? Explain. Write a mathematical phrase or sentence for your classmates to translate.
To find the projected enrollment of women in 2004, you need to substitute the value of 'x' in the equation N = 0.007x + 4.1 with the appropriate value.
Since 'x' represents years after 1984, we need to find the number of years between 2004 and 1984. So, subtract 1984 from 2004 to get 20.
Now, substitute this value into the equation for women:
N = 0.007 * 20 + 4.1
Compute the value:
N = 0.14 + 4.1
N = 4.24 million
Therefore, the projected enrollment of women in 2004 is 4.24 million.
Now, let's find the projected enrollment of men in 2004. You need to use the equation N = 0.01x + 3.9 and substitute the value of 'x' as 20.
N = 0.01 * 20 + 3.9
N = 0.2 + 3.9
N = 4.1 million
Therefore, the projected enrollment of men in 2004 is 4.1 million.
Your guess of N = 20 * 0.007 + 20 * 4.1 = 222 is incorrect because you are multiplying the constants by the number of years (20) instead of multiplying them by 'x' (which is 20 in this case).