We are given : Cost of a gallon of milk = $2.50. Cost of a cup of yogurt = $1.20. Total money Monica has = $20. Number of cups of yogurt Monica can buy = x. And inequality made is also correct 1.20x + 2.5 ≤ 20. Now, we need to solve it for x. Subtracting 2.5 from both sides, we get 1.20x + 2.5 -2.5 ≤ 20 - 2.5. 1.20x ≤ 17.5 Dividing both sides by 1.20, we get 1.20x/1.20 ≤ 17.5/1.20. x ≤ 14.5833... Because it's less than 15, so final answer is : 14 is greatest number of cups of yogurt Monica can buy.
notice the picture of the graph added here low and behold, x = -17, y is 0, and x= 15, y is 0 the graph is touching the x-axis, an x-intercept or so-called, a "solution"
