Answer:
y=-4x+1
Step-by-step explanation:
27.5% would be the percent of the regular price.
Answer:
1600. This is a maximum limit of fish the pond can host.
Step-by-step explanation:
For
, we must take the part of this function valid for high values, i.e., the second part, where
.
![\lim_{t \to \infty} N(t)=\lim_{t \to \infty} \frac{200+80t}{2+0.05t}](https://tex.z-dn.net/?f=%5Clim_%7Bt%20%5Cto%20%5Cinfty%7D%20N%28t%29%3D%5Clim_%7Bt%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B200%2B80t%7D%7B2%2B0.05t%7D)
Since we have two polynoms both in numerator and denominator, and both of them are of degree 1 (both linear), for high values of
, the main part of each polynom shall be the linear part, neglecting lower degree parts (in this case, constant terms):
![\lim_{t \to \infty} \frac{200+80t}{2+0.05t}=\lim_{t \to \infty} \frac{80t}{0.05t}=\frac{80}{0.05} = 1600](https://tex.z-dn.net/?f=%5Clim_%7Bt%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B200%2B80t%7D%7B2%2B0.05t%7D%3D%5Clim_%7Bt%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B80t%7D%7B0.05t%7D%3D%5Cfrac%7B80%7D%7B0.05%7D%20%3D%201600)
This means that the number of fish in a pond has an <em>horizontal asymthote</em>. In other words, there seems to be a natural limit for the number of fish that there will be in the pond as years pass. The maximum number of fish is actually 1600. With this function, no higher than this figure can be reached. This might imply <em>limits in productivity</em>.
Means Evan completes the 1/168 of the job each hour, and together they complete 1/56 each hour. 1/56 = 3/168, so Evan completes 1/168 of the job each hour and Emma completes the other 2/168 (so together they add up to be 3/168). So Emma completes 2/168 = 1/84 of the job per hour if she does it alone. So 84 hour is how long it takes.