# Chapter 4 - An Introduction to Functions - Mid-Chapter Quiz - Page 252: 5

Independent variable: number of tricks Dependent variable: number of biscuits The relationship represents the amount of treats, from a box, a dog gets for doing tricks Equation: y=-3x+23

#### Work Step by Step

Number of tricks is independent variable because it lies on the x-axis Number of biscuits is dependent variable because it lies on the y-axis Equation: Slope: $\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}$ $\frac{(14-17)}{3-2)}$ $\frac{-3}{1}$ slope=-3 y-int: y=-3x+b (substitute any x & y value from the table) 17=-3(2)+b 17=-6+b +6 +6 23=b Equation: y=-3x+23

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