Question on word problems and inequalities! *Easy 10 points*?

Question

You want to bake at least 6 and at most 11 loaves of bread for a bake sale. You want at least twice as many loaves of banana bread as nut bread.

a. Write a system of inequalities to model the situation.

Please explain in-depth so I understand it...

Thank you in advance! :)

Answer 1

what she said

Answer 2

b = banana bread

n = nut bread

1) 6 <= b +n <= 11

The sum of the bread must be between 6 and 11.

2) n =< b/2

At least twice as many loaves of banana vs nut bread. So, if you have 2 loavesd of nut bread, you must have at least 4, but possibly 5,6,7,8,or 9 loaves of banana bread.

Answer 3

n= loaves of nut bread

b= loaves of banana bread

x= total number of loaves

x= n+b

b >= 2n

x >= 3b

6 <= x <= 11

4 <= b <= 11

0 <= n <= 3

I would guess to use b and n as values on an x-y graph

Then, i would try to find a way to graph it. Good luck with that.

Shade below whatever graph you come up with.

Answer 4

n = number of loaves baked

6 <= n <= 11

n(b) = number of banana loaves

n(n) = number of nut loaves

==>  n = n(b) + n(n)

n(b) > 2 * n(n)

So - your two inequalities are:

6 <= n(b) + n(n) <= 11; and

n(b) > 2 * n(n)

Hope this helps

Answer 5

let n  = nut and b = banana, then

eqn a:  b >= 2n

eqn b:  n + b <= 11

graph by plugging in zeros for b, n