Math  /  Algebra

Question47. Business A small juice company spends $1200\$ 1200 per day on business expenses plus $1.10\$ 1.10 per bottle of juice they make. They charge $2.50\$ 2.50 for each bottle of juice they produce. How many bottles of juice must the company sell in one day in order to equal its daily costs?
48. Spreadsheet You set up a spreadsheet to solve 7(x+1)=3(x1)7(x+1)=3(x-1). a. Does your spreadsheet show the solution of the equation? b. Between which two values of xx is the solution of the equation? How do you know? c. For what spreadsheet values of xx is 7(x+1)7(x+1) less than 3(x1)3(x-1) ? \begin{tabular}{|c|c|c|} \hline & AA & BB \\ \hline 1 & xx & 7(x+7(x+ \\ \hline 2 & -5 & -28 \\ \hline 3 & -3 & -14 \\ \hline 4 & -1 & \\ \hline 5 & 1 & \\ \hline 6 & 3 & \\ \hline \end{tabular}

Studdy Solution
The juice company must sell **858** bottles to equal its daily costs.
The spreadsheet *doesn't* directly show the solution x=2.5x = -2.5 to the equation 7(x+1)=3(x1)7(x+1) = 3(x-1).
The solution lies between x=3x = -3 and x=1x = -1. 7(x+1)7(x+1) is less than 3(x1)3(x-1) when x<2.5x < -2.5, which in the spreadsheet is when x=5x = -5 and x=3x = -3.

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