Question

8. Mark wants to purchase a combination of at least 16 turkey subs or roast beef subs for a party. Each turkey sub, , is priced at $5 and each roast beef sub, , is priced at $4. Mark has at most $80 to spend on the subs.

A. Write a system of inequalities that can be used to model this situation.










B. Graph the inequalities on the axes provided.





























C. Name one combination of subs that will allow Mark to stay within his budget.


Turkey subs ___________ Roast beef subs__________


D. Using the combination of hours you chose for part C, how much would Mark spend?

Answer 1

You told me the following

t + r ≥ 16

5t + 4r ≤ 80

take over

Answer 2

Can i solve by using the substitution method so multiply the t + r is greater than or equal to 16 equation by -4

Answer 3

am I on the right track?

Answer 4

You must be talking about C
since we are using ≥ and ≤ , we can use equations.

r = 16-t
sub into the 2nd
5t + 4(16-t) = 80
5t + 64 - 4t = 80
t = 16
then r = 0

I will leave it up to you to decide if "combination" would include the case of only one type of sub
The math certainly allows for that case.

If your ordered pairs are of the type (t,r)
my graph of your problem shows a triangle formed by the points
(16,0) , (0,6), and (0,20)

Any point in that region with integer values would work

Answer 5

Thanks I got it

Answer 6

How many turkey subs and how many roast beef subs