Question

37)You need at least 15 pencils or markers. You want to spend at most $14 onpencils and markers. Pencils p are $0.85 each and markers m are $1.45each. Which system of inequalities models the situation?A) p+m>150.85p+1.45m<14B) p+m>140.85p+1.45m>15C) p+m≥150.85p+1.45m≤14D) p+m≥140.85p+1.45m≤15

Answer 1

Given:

Minimum number of pencils or markers = 15

Maximum amount to spend on pencils and markers = $14

Cost of a pencil = $0.85

Cost of a marker = $1.45

Required: System of inequalities models the situation

Step-by-step explanation:

Let p denote the number of pencil and m be the number of markers

Since the minimum number of pencils or markers is 15, it gives the inequality

`p+m\geq15`

Since the maximum amount to spend on pencils and markers is $14, it gives the inequality

`0.85p+1.45m\leq14`

Final Answer:

`\begin{gathered} p+m\ge15 \\ 0.85p+1.45m\leqslant14 \end{gathered}`