Modeling with Quadratic Equations Answers
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A sporting goods store uses quadratic equations to monitor the daily cost and profit for various items it sells. The store’s daily profit, y, when soccer balls are sold at x dollars each, is modeled by . Why is there an interval over which the graph decreases?
A
If the store sells more soccer balls, they can decrease the price.B
If the soccer balls are returned for a refund, the store will lose money.C
If the soccer balls are too expensive, fewer will be sold, reducing profit.2
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What are the zeroes of the function? Round to the nearest hundredth.
A
0B
2.05C
8.33D
14.613
The table shows some values that satisfy the quadratic equation. Which of the following is a true statement?
A
If the store charges $5 per soccer ball, it can expect to sell 170 of them.B
If the store charges $8 per soccer ball, it makes a daily profit of $236.C
If the store sells 12 soccer balls, it makes $156 in profit.D
The greater the selling price, the greater the profit.4
What is the vertex of the parabola? Round to the nearest hundredth.
A
(16.67, 1,306.67)B
(8.33, 236.67)C
(0.03, –177)D
(8.33,0)E
(2, 0)F
(14.61, 0)5
What do the zeroes mean in context?
A
If soccer balls are sold for $2.05 each, the store will make a daily profit of $14.61.B
If soccer balls are sold for $14.61 each, the store will make a daily profit of $2.05.C
If soccer balls are sold for $2.05 or $14.61 each, the store will maximize their daily profit.D
If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.Did you find these answers helpful?
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