Answer:
The polynomial -8x2 + 54x + 140 can be factored as (x + 2)(-8x + 70).
The factor (x + 2) represents the final price per hot dog after increasing it from the starting price of $2, where x is the number of $1 increases in price.
The factor (-8x + 70) represents the average number of hot dogs sold based on the price increase. For every $1 increase in price, the number of hot dogs sold declines by 8. So, if the price increases by x dollars, the number of hot dogs sold declines by 8x. Since the number of hot dogs sold without the price increase is 70, the number of hot dogs after a price increase is -8x + 70.
Step-by-step explanation:
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