Mrs. barritz is packing food bags for the
sick. because of the special health needs
of the people to whom they will be
delivered, 15 less than half of the bags
will include some diabetic food.
if she wants to use algebra to find out how
many bags do not contain diabetic food, which
of expressionsbelow represents that amount?
let b = number of bags of food.

b - (b/2 - 15)

Step-by-step explanation:

b = total number of bags

Half of the bags means b/2

I5 less than half of the bags means b/2 - 15; which is the number of bags with diabetic food

The number of bags without diabetic food means the total number of bags (b) minus the number of bags with diabetic food (b/2 - 15)

Mathematically, it will be expressed in algebra as b - (b/2 - 15)

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)