Juan and his children went into a movie theater and he bought $52.50 worth of bags of popcorn and pretzels. Each bag of popcorn costs $7.50 and each pretzel costs $3.75. He bought 5 more pretzels than bags of popcorn. Graphically solve a system of equations in order to determine the number of bags of popcorn, s, and the number of pretzels, y, that Juan bought.

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function.how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions