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Lowell is hosting a city-wide arts festival at which vendors can pay to have a small booth or a large booth. The fee for a small booth is $46\$46, whereas the fee for a large booth is $98\$98. The city hopes to receive at least $2,000\$2,000 in fees.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of small booths\newliney=y = the number of large booths\newline\newlineChoices:\newline(A) 46x + 98y < 2,000\newline(B) 46x+98y≤2,00046x + 98y \leq 2,000\newline(C) 46x+98y≥2,00046x + 98y \geq 2,000\newline(D) 46x + 98y > 2,000

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Q. Lowell is hosting a city-wide arts festival at which vendors can pay to have a small booth or a large booth. The fee for a small booth is $46\$46, whereas the fee for a large booth is $98\$98. The city hopes to receive at least $2,000\$2,000 in fees.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of small booths\newliney=y = the number of large booths\newline\newlineChoices:\newline(A) 46x+98y<2,00046x + 98y < 2,000\newline(B) 46x+98y≤2,00046x + 98y \leq 2,000\newline(C) 46x+98y≥2,00046x + 98y \geq 2,000\newline(D) 46x+98y>2,00046x + 98y > 2,000
  1. Calculate Small Booth Fee: Determine the fee for each small booth. The fee for a small booth is given as $46\$46. Number of small booths: xx What is the total fee from all small booths? Fee for each small booth ×\times Number of small booths = 46×x46 \times x = 46x46x Total fee from small booths: 46x46x
  2. Calculate Large Booth Fee: Determine the fee for each large booth. The fee for a large booth is given as $98\$98. Number of large booths: yy What is the total fee from all large booths? Fee for each large booth ×\times Number of large booths = 98×y98 \times y = 98y98y Total fee from large booths: 98y98y
  3. Calculate Total Booth Fees: Determine the total fee from both small and large booths.\newlineWe have the total fee from small booths: 46x46x\newlineAnd the total fee from large booths: 98y98y\newlineWhat is the total fee from both small and large booths?\newlineAdd the total fee from small and large booths.\newline46x+98y46x + 98y
  4. Determine Fee Inequality: Determine the inequality that represents the city's goal for booth fees.\newlineThe city hopes to receive at least $2,000\$2,000 in fees.\newlineThis means the total fee from both small and large booths must be greater than or equal to $2,000\$2,000.\newlineInequality: 46x+98y≥2,00046x + 98y \geq 2,000

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