Name: 5−4 Additional Practice 1. 2−4 Pairs of values on the coordinate plane.2.3. A store charges $140 for every 10 bags of fertilizer a farmer buys.a. Complete the table. Graph the values.\begin{tabular}{|l|l|l|l|l|l|}\hline \begin{tabular}{l} Fertilizer \\(bags)\end{tabular} & 10 & \multicolumn{2}{|c|}{} \\\hline Cost (s) & 140 & 30 & 40 & 70 \\\hline\end{tabular}b. How much would a farmer pay for 50 bags of fertilizer? Explain.4. A car uses 5 gallons of gas for every 120 miles it travels.a. Complete the table. Graph the values.
Q. Name: 5−4 Additional Practice 1. 2−4 Pairs of values on the coordinate plane.2.3. A store charges $140 for every 10 bags of fertilizer a farmer buys.a. Complete the table. Graph the values.\begin{tabular}{|l|l|l|l|l|l|}\hline \begin{tabular}{l} Fertilizer \\(bags)\end{tabular} & 10 & \multicolumn{2}{|c|}{} \\\hline Cost (s) & 140 & 30 & 40 & 70 \\\hline\end{tabular}b. How much would a farmer pay for 50 bags of fertilizer? Explain.4. A car uses 5 gallons of gas for every 120 miles it travels.a. Complete the table. Graph the values.
Calculate cost per bag: Calculate the cost per bag of fertilizer.$140/10 bags = $14 per bagThis means that each bag of fertilizer costs $14.
Calculate cost for 50 bags: Calculate the cost for 50 bags of fertilizer.Since each bag costs $14, for 50 bags, the cost would be:50 bags ∗$14/bag = $700
Complete table with values: Complete the table with the calculated values.For 30 bags: \(30\) \text{ bags} * \$\(14\)/\text{bag} = \$\(420\)\(\newline\)For \(40\) bags: 40 \text{ bags} * \\(14\)/\text{bag} = \$\(560\)\(\newline\)For \(70\) bags: 70 \text{ bags} * \$\(14\)/\text{bag} = \$\(980\)\(\newline\)The completed table would look like this:\(\newline\)Fertilizer (bags) | Cost (\$)\(\newline\)------------------|---------\(\newline\)\(10 | \)\(140\)\(\newline\)\(30 | \)\(420\)\(\newline\)\(40 | \)\(560\)\(\newline\)\(50 | \)\(700\)\(\newline\)\(70 | \)\(980\)
Graph values on plane: Graph the values on the coordinate plane.\(\newline\)Plot the pairs \((10, 140)\), \((30, 420)\), \((40, 560)\), \((50, 700)\), and \((70, 980)\) on the coordinate plane with the number of bags on the \(x\)-axis and the cost on the \(y\)-axis. Connect the points to show the linear relationship.
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