Question

1. a bakery can use no more than 100 lbs of flour per day to make bread and cakes. if a loaf of bread requires 1 lb of flour and a cake requires 3 lbs, which inequality represents the maximum use of flour?

a. ( 3b + c leq 100 )
b. ( b + 3c geq 100 )
c. ( b + 3c leq 100 )
d. ( b + 3c = 100 )

1. when solving real - world problems involving inequalities, what is the significance of the shaded area on a graph?

a. it represents the set of all possible solutions that satisfy the inequality
b. it indicates areas outside the feasible region
c. it has no significant meaning
d. it represents where the inequality is not valid

Explanation:

Step1: Analyze the flour - usage for bread and cakes

Let \(b\) be the number of loaves of bread and \(c\) be the number of cakes.
Since a loaf of bread requires \(1\) lb of flour, the flour used for bread is \(b\times1 = b\) lbs.
Since a cake requires \(3\) lbs of flour, the flour used for cakes is \(c\times3=3c\) lbs.
The total flour used is \(b + 3c\) lbs.

Step2: Consider the maximum flour limit

The bakery can use no more than \(100\) lbs of flour. The phrase “no more than” is represented by the inequality symbol \(\leq\).
So, the inequality is \(b + 3c\leq100\).

Answer:

C. \(b + 3c\leq100\)