3.3 Moving Straight Ahead Solving Equations and Inequalities

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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