Question

Amy needs to purchase pencils and notebooks for her students. The number of pencils needed is at least twice as many as the number of notebooks. The pencils cost $0.25 each and the notebooks cost $4. Amy’s budget for these supplies allows for a maximum cost of $100. How do you represent the constraints of this scenario as a system of inequalities, where p is the number of pencils and n is the number of notebooks Amy will buy?(1 point)

p≥2n


0.25p+4n≥100



p≥n+2


0.25p+4n≤100



p≥2n


0.25p+4n≤100



p<2n


0.25p+4n≤100

Answer 1

The correct system is

p ≥ 2n
0.25p + 4n ≤ 100

(Also p and n should be nonnegative, and typically whole numbers.)