Answer the following questions. 1. A tea company wants to make 7 pounds of a blend of tea costing $4 per pound by combining a tea that costs $3 per pound and tea that costs $6 per pound. How many pounds of each grade of tea should be used? Which of the following equations represents a possible model for this problem? A. 6 x + 7(7) = 3 (4 - x)^() B. 6 x + 4 x = 7 (7 - x)^() C. 3 x + 6(4 - x) = 7 x D. 3 x + 6(7 - x) = 4(7) E. 3 x + 6 x = 7 2. How many ounces of a brand of coffee that costs $8 an ounce must be mixed with 14 ounces of another brand that costs $10 an ounce to make a mixture that costs $9.50 an ounce? Which of the following equations represents a possible model for this problem? A. 8 x + 10(14 - x)^() = 9.5(14)^() B. 8 x + 10 x = 9.5(14) C. 8 x + 10(14) = 9.5(x + 14) 3. How many gallons of a solution that is 18% acidic must be mixed with 7 gallons of a solution that is 25% acidic to make a solution that is 21% acidic? Which of the following equations represents a possible model for this problem? A. 0.18 x + 0.25(0.21 - x) = 7 x B. 0.25 x + 7 x = 18 (0.21 - x)^() C. 0.18 x + 0.25(7) = 0.21 (x + 7)^() D. 0.25 x + 0.21 x = 7 (7 - x)^() 0.18 x + 0.25 x = (0.21)7

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.