Answer:
![f(n)=0.75n-0.50](https://img.qammunity.org/2020/formulas/mathematics/high-school/enuwvsfxhi7lff7mntix6d3p24yxoilv9q.png)
Explanation:
We are given that
Cost of one can of noodle soup=$0.75
You have a coupon =$0.50 off on your total purchase.
We have to find the function rule for the cost of n cans of soup.
To find the function rule for the cost of n cans of soup we will find first cost of n cans of soup without coupon.
Multiply 0.75 by n to get the cost of n cans of soup
Cost of n cans of soup =
![0.75* n](https://img.qammunity.org/2020/formulas/mathematics/high-school/vr00betevlz14og4s0xxwgk5vn92cyro4w.png)
Cost of n cans of soup =
![0.75n](https://img.qammunity.org/2020/formulas/mathematics/high-school/imjqbp7n9wskux0qx4jr3au1ur6peopsfc.png)
Now, subtract $0.50 from total cost of n cans of soup because coupon of $0.50 off on total purchase
Therefore,exact cost of n cans of soup,f(n)=
![0.75n-0.50](https://img.qammunity.org/2020/formulas/mathematics/high-school/3uy526tasv8wa6o8wb4hmmqf08waq5o3em.png)
Where f(n)=Total cost of n cans of soup
Hence, the function rule for the cost of n cans of soup=
![f(n)=0.75n-0.50](https://img.qammunity.org/2020/formulas/mathematics/high-school/enuwvsfxhi7lff7mntix6d3p24yxoilv9q.png)