Roger is going to purchase some writing instruments at the school store, where mechanical pencils cost $2 and pens cost $1. He can spend up to $8, but not more.Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.x= the number of mechanical pencils Roger will buyy= the number of pens Roger will buyChoices:(A) 2x+y≥8(B) 2x+y≤8(C) x+2y≤8(D) x+2y≥8
Q. Roger is going to purchase some writing instruments at the school store, where mechanical pencils cost $2 and pens cost $1. He can spend up to $8, but not more.Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.x= the number of mechanical pencils Roger will buyy= the number of pens Roger will buyChoices:(A) 2x+y≥8(B) 2x+y≤8(C) x+2y≤8(D) x+2y≥8
Calculate mechanical pencils cost: Mechanical pencils cost $2 each, so if Roger buys x mechanical pencils, the cost is 2x dollars.
Calculate pens cost: Pens cost $1 each, so if Roger buys y pens, the cost is y dollars.
Set spending limit: Roger can spend up to $8, so the total cost of mechanical pencils and pens should be less than or equal to$8.
Formulate inequality: The inequality that represents this situation is 2x (cost of mechanical pencils) plus y (cost of pens) should be less than or equal to 8. So, 2x+y≤8.
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