You are serving bratwurst and hamburgers at your annual picnic . you want at least three bratwursts or hamburgers for each of your 50 guests. bratwursts cost $1.25 each and hamburgers $0.95 each. your budget is $200 let x be the number of bratwursts and y the number of hamburgers. which systems of inequalities represents this situation? x+y< 50 1.25x + 0.95y < 200 x + y < 50 1.25x + 0.95y > 200 x + y > 150 1.25x + 0.95y > 200 x + y > 150 1.25x + 0.95 y < 200

x + y >150 1.25x + 0.95 y < 200

If x and y represent numbers of bratwursts and hamburgers, respectively, we want the sum of their numbers to be at least 3·50 = 150. We would expect the inequality representing this to be ...

... x + y ≥ 150

The cost of x bratwursts will be 1.25x; the cost of y hamburgers will be 0.95y. The sum of these costs cannot exceed 200, so we expect that to be described by the inequality ...

... 1.25x +0.95y ≤ 200

The closest match to this pair of inequalities is the last answer selection, copied above.

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

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