A dietician is asked to design a special diet supplement using two foods. Each ounce of food X contains 31 units of calcium and each ounce of food Y contains 20 units of calcium. The minimum daily requirement in the diet is 300 units of calcium. Write a linear inequality that represents the different numbers of units of food X and food Y required.
A) $31 X + 20 Y \geq 300$
B) $20 X + 31 Y \geq 300$
C) $31 X - 20 Y \geq 300$
D) $31 X + 20 Y \geq 249$
E) $11 X + 20 Y \geq 300$

Question

Quizplus · Accepted Answer

Since each ounce of food X contains 31 units of calcium and each ounce of food Y contains 20 units of calcium, we can create the following inequality: 
31X + 20Y ≥ 300
This inequality ensures that the diet contains at least 300 units of calcium by combining the amounts of calcium from both foods X and Y.

A Dietician Is Asked to Design a Special Diet Supplement 31X+20Y≥30031 X + 20 Y \geq 30031X+20Y≥300

A Dietician Is Asked to Design a Special Diet Supplement $31 X + 20 Y \geq 300$