Question

carmen is going to purchase some writing instruments at the school store, where mechanical pencils cost $1.29 and pens cost $3.48. she can spend up to $11, but not more. write the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of mechanical pencils carmen will buy y = the number of pens carmen will buy

Explanation:

Step1: Calculate the cost of mechanical pencils

The cost of \(x\) mechanical pencils is \(1.29x\) dollars.

Step2: Calculate the cost of pens

The cost of \(y\) pens is \(3.48y\) dollars.

Step3: Set up the inequality

Since Carmen can spend up to (but not more than) \(\$11\), the inequality is \(1.29x + 3.48y\leqslant11\).

Answer:

\(1.29x + 3.48y\leqslant11\)