You are buying 3 shirts and 2 pairs of pants. You spend $300. Let x represent the price of the shirt and y represent the price of the pants. Write an equation that can be used to find the price of the shirts and pants. Directions: Write the equation in both slope-intercept and standard form for each of the scenarios below. a. Standard Form: b. Slope-Intercept Form: c. If the shirts cost $20 each how much were each of the pants? d. Using the Standard Form, identify the x-intercept of the graph and explain how the x-intercept relates to the price of the pants and shirts. Answer: Price of shirt: x Price of pants: y Total Price: 300 A.) Standard Form Equation 3x + 2y = 300 B.) Slope-intercept Form: 2y = -3x + 300 y = (-3x + 300)/2 y = -3x/2 + 150 ⇒ Slope-intercept form equation Where: m = -3/2 y-intercept (b) = 150 C. If the shirts cost $20 each how much were each of the pants? Let x = 20: Find the unit cost (y) of pair of pants using the slope-intercept form
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