3.3 Moving Straight Ahead Solving Equations and Inequalities E. 1. How many cakes can Fabian make if he wants his expenses to be less than $2400 a month? Show your reasoning. A. 1. In the equations for I and E, what information do the yintercepts give you? ___________________________________ E. 2. How many cakes can Fabian make if he wants his expenses to be greater than $2400 a month? Show your reasoning. 2. What do the coefficients of n represent? ________ E.4 For each inequality find the number of cakes Fabian needs to B. Fabian sells 100 cakes in January. 1. What are his expenses? _____ make in a month, graph on a number line and explain how you found What is his income? ______ your answer. 2. What is his profit? _________ Describe how you found your answer. ______________________ ____________________________________________________ ____________________________________________________ C. Write an equation the represents the profit, P for selling n cakes. Describe how you can use this equation to find the profit. ________ ____________________________________________________ 2. Fabian uses the equation P = 4.95n – 825 to predict the profit. Does this equation make sense? _____ Explain. ________________ ____________________________________________________ D. The break-even point is when expenses equal income (E = I). 1. Write an equation to find the number of cakes n needed to break even. _________________________ How many cakes does Fabian need to make in order to break even?______ a. E < 1.475 # needed____ ____________________________________________________ ____________________________________________________ b. I > 1,640 # needed____ ____________________________________________________ ____________________________________________________ c. P > 800 # needed____ ____________________________________________________ ____________________________________________________
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